{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "178e11e0-4ac9-40ba-b0ee-d062fed9bfe8",
   "metadata": {},
   "source": [
    "Chapter 7\n",
    "# EWMA协方差矩阵\n",
    "Book_6《数据有道》 | 鸢尾花书：从加减乘除到机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "db979a41-5022-41c5-8997-b3bf3dd235a6",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas_datareader as pdr\n",
    "# pip install pandas_datareader\n",
    "import seaborn as sns\n",
    "from itertools import combinations"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1b5676d5-6bc6-4443-a36a-72268536b7e7",
   "metadata": {},
   "source": [
    "## 下载数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "9f153431-d696-43c2-9a4e-60d2446c1f44",
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pdr.data.DataReader(['DGS6MO','DGS1',\n",
    "                          'DGS2','DGS5',\n",
    "                          'DGS7','DGS10',\n",
    "                          'DGS20','DGS30'], \n",
    "                          data_source='fred', \n",
    "                          start='01-01-2022', \n",
    "                          end='12-31-2022')\n",
    "df = df.dropna()\n",
    "df.to_csv('IR_data.csv')\n",
    "df.to_pickle('IR_data.pkl')\n",
    "# 如果无法下载数据，请用pandas.read_csv() 或 pandas.read_pickle() 读取配套文件"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "e00c3508-a608-4d06-8208-0835571ec13f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>0.5 yr</th>\n",
       "      <th>1 yr</th>\n",
       "      <th>2 yr</th>\n",
       "      <th>5 yr</th>\n",
       "      <th>7 yr</th>\n",
       "      <th>10 yr</th>\n",
       "      <th>20 yr</th>\n",
       "      <th>30 yr</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DATE</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2022-01-03</th>\n",
       "      <td>0.22</td>\n",
       "      <td>0.40</td>\n",
       "      <td>0.78</td>\n",
       "      <td>1.37</td>\n",
       "      <td>1.55</td>\n",
       "      <td>1.63</td>\n",
       "      <td>2.05</td>\n",
       "      <td>2.01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-01-04</th>\n",
       "      <td>0.22</td>\n",
       "      <td>0.38</td>\n",
       "      <td>0.77</td>\n",
       "      <td>1.37</td>\n",
       "      <td>1.57</td>\n",
       "      <td>1.66</td>\n",
       "      <td>2.10</td>\n",
       "      <td>2.07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-01-05</th>\n",
       "      <td>0.22</td>\n",
       "      <td>0.41</td>\n",
       "      <td>0.83</td>\n",
       "      <td>1.43</td>\n",
       "      <td>1.62</td>\n",
       "      <td>1.71</td>\n",
       "      <td>2.12</td>\n",
       "      <td>2.09</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-01-06</th>\n",
       "      <td>0.23</td>\n",
       "      <td>0.45</td>\n",
       "      <td>0.88</td>\n",
       "      <td>1.47</td>\n",
       "      <td>1.66</td>\n",
       "      <td>1.73</td>\n",
       "      <td>2.12</td>\n",
       "      <td>2.09</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-01-07</th>\n",
       "      <td>0.24</td>\n",
       "      <td>0.43</td>\n",
       "      <td>0.87</td>\n",
       "      <td>1.50</td>\n",
       "      <td>1.69</td>\n",
       "      <td>1.76</td>\n",
       "      <td>2.15</td>\n",
       "      <td>2.11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-12-23</th>\n",
       "      <td>4.67</td>\n",
       "      <td>4.66</td>\n",
       "      <td>4.31</td>\n",
       "      <td>3.86</td>\n",
       "      <td>3.83</td>\n",
       "      <td>3.75</td>\n",
       "      <td>3.99</td>\n",
       "      <td>3.82</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-12-27</th>\n",
       "      <td>4.76</td>\n",
       "      <td>4.75</td>\n",
       "      <td>4.32</td>\n",
       "      <td>3.94</td>\n",
       "      <td>3.93</td>\n",
       "      <td>3.84</td>\n",
       "      <td>4.10</td>\n",
       "      <td>3.93</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-12-28</th>\n",
       "      <td>4.75</td>\n",
       "      <td>4.71</td>\n",
       "      <td>4.31</td>\n",
       "      <td>3.97</td>\n",
       "      <td>3.97</td>\n",
       "      <td>3.88</td>\n",
       "      <td>4.13</td>\n",
       "      <td>3.98</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-12-29</th>\n",
       "      <td>4.73</td>\n",
       "      <td>4.71</td>\n",
       "      <td>4.34</td>\n",
       "      <td>3.94</td>\n",
       "      <td>3.91</td>\n",
       "      <td>3.83</td>\n",
       "      <td>4.09</td>\n",
       "      <td>3.92</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-12-30</th>\n",
       "      <td>4.76</td>\n",
       "      <td>4.73</td>\n",
       "      <td>4.41</td>\n",
       "      <td>3.99</td>\n",
       "      <td>3.96</td>\n",
       "      <td>3.88</td>\n",
       "      <td>4.14</td>\n",
       "      <td>3.97</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>249 rows × 8 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "            0.5 yr  1 yr  2 yr  5 yr  7 yr  10 yr  20 yr  30 yr\n",
       "DATE                                                           \n",
       "2022-01-03    0.22  0.40  0.78  1.37  1.55   1.63   2.05   2.01\n",
       "2022-01-04    0.22  0.38  0.77  1.37  1.57   1.66   2.10   2.07\n",
       "2022-01-05    0.22  0.41  0.83  1.43  1.62   1.71   2.12   2.09\n",
       "2022-01-06    0.23  0.45  0.88  1.47  1.66   1.73   2.12   2.09\n",
       "2022-01-07    0.24  0.43  0.87  1.50  1.69   1.76   2.15   2.11\n",
       "...            ...   ...   ...   ...   ...    ...    ...    ...\n",
       "2022-12-23    4.67  4.66  4.31  3.86  3.83   3.75   3.99   3.82\n",
       "2022-12-27    4.76  4.75  4.32  3.94  3.93   3.84   4.10   3.93\n",
       "2022-12-28    4.75  4.71  4.31  3.97  3.97   3.88   4.13   3.98\n",
       "2022-12-29    4.73  4.71  4.34  3.94  3.91   3.83   4.09   3.92\n",
       "2022-12-30    4.76  4.73  4.41  3.99  3.96   3.88   4.14   3.97\n",
       "\n",
       "[249 rows x 8 columns]"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "765a656c-8c47-4377-a47b-047327d9f712",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='DATE'>"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAigAAAGkCAYAAAAbl967AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8g+/7EAAAACXBIWXMAAA9hAAAPYQGoP6dpAAEAAElEQVR4nOyddZgd1f2H35nrsnfvuvsm2bh7SCAhBAgWnNIWaylSCj9KW6hRSr1AW9rSIi3FQyF4kAgQiLttPFl3va4z8/tjNnezbAxNoOd9njy5d+TMmdlkz2e+KmmapiEQCAQCgUBwEiGf6AkIBAKBQCAQfBQhUAQCgUAgEJx0CIEiEAgEAoHgpEMIFIFAIBAIBCcdQqAIBAKBQCA46RACRSAQCAQCwUmHECgCgUAgEAhOOoRAEQgEAoFAcNIhBIpAIBAIBIKTDiFQBAKBQCAQnHScEIHyi1/8AkmS+vypqKg4EVMRCAQCgUBwEmI8URceOnQoS5Ys6Z2I8eNNRVVVGhsbSUpKQpKkz3p6AoFAIBAIPgc0TcPn85Gbm4ssH9lOcsIEitFoJDs7+xOf39jYSEFBwWc4I4FAIBAIBF8UdXV15OfnH3H/CRMoe/fuJTc3F6vVyuTJk/ntb39LYWHhEY+PRCJEIpHE94NNmOvq6nC5XJ/7fAUCgUAgEHx6vF4vBQUFJCUlHfU4STu40n+BvPXWW/j9fgYNGkRTUxP33HMPDQ0NbN++/YgT/sUvfsE999zTb7vH4xECRSAQCASCLwler5fk5ORjrt8nRKB8lO7uboqKinjggQe47rrrDnvMRy0oBxWYECgCgUAgEHx5OF6BcsJcPIfidrsZOHAg+/btO+IxFosFi8XyBc5KIBAIBALBieKkqIPi9/vZv38/OTk5J3oqAoFAIBAITgJOiEC54447WLZsGdXV1axcuZJ58+ZhMBi44oorTsR0BAKBQCAQnGScEBdPfX09V1xxBR0dHWRkZDBt2jRWr15NRkbGiZiOQCAQCASCk4wTIlDmz59/Ii4rEAgEAoHgS8JJEYMiEAgEAoFAcChCoAgEAoFAIDjpEAJFIBAIBALBSYcQKAKBQCAQCE46hEARCAQCgUBw0iEEikAgEAgEAL4WeOVmWHgHqOqnHy/YCUrs04/zP4oQKAKBQCD432TPO7D7Lf3zjtfgoUmw+WlY9yis/9enG7tuHdw/CBYcvr8cAL5mWPlXCHV9okuEYwpPra5hX6vvE07y5Oak6MUjEAgEAsEXypqH4a0f6p8Lp0DtSv2zMwv8LbDkF1AyAzIGfrLx3/8NKFHY8So0bISMCmjdCWpc369E4fXvQecBaN4OFz7c9/x4BF7+DpgccP7fQJL67I7GVW5+ZiNLd7UyptDNSzdN/WTz7EHTNA60ByhJcyDLEtsbPAQicSaWpn2qcT8NQqAIBAKB4H+HYCe8dD3sW9y7rXYlSDJMvRVm3AlPzdO3PXk+XLcI3AXHN3agHVp3QP062P9u7/ZnL4Nwty5KDsfW+XDqnZBa0rttyT1Q+bL+ech5MHBOYldcUfm/5zezY9dObjW8z7KG0QQiE3FYPtmSrmka9z71Fsl7XmBF6oXcfsEUfvFaJbuaffzx4hFcMu447/8zRggUgUAgEPzv8OH9ujiRDDD9DjDZYe9imPUzKJykH3PZU/CfudC2S3f3zP7l0cf0NOjHd1X13V40FWpWQqBV/+7IBIuzd7+7EDz10LEPVj4I5/xJ3753Caz+e+Kwnc//DMO3JzMw24Wqavxy/vuM2/lP/mRZilmKM13dysbayzllwCdrF/PPhau5Zt/3KDC2kd/VyuWPyBRJzXzTto+ZFad/ojE/C4RAEQgEAsH/DrWr9b/P+yuMvlL/PO02QLckPLfrOUwGE5eMu1Z3AXUeOPaYW57tEScSpBRD5hDIHgYTb4DGjboIKT4FUksTrpqlO1tYuK2JEWzg6o7bYdebMPcBCLTBKzcA8Lo6ldnSWgYru7n20Se59vwziCz7M3e2v4jdGElcvkKq5Z8H2j+RQHl57T4mrv0uBXIbABcYVvKCcir3mf5JvtYO+0bAqBPTyFcIFIFAIBD8bxCPQPNWANTCidy69BaiapS/z/o7BsnAnzb8iccrHwdg7IjbKQXorjv2uDtf1/8+988w9uq++8r7WiA0TePv7+3jvkV7AFhIKldajZj8zboYevMHEGijSi7mjvC3ecRtZUZ4KV+LvsiQBb8lVfKDBF0pI0iZezfKs1fgUCNU79tBZNZAttR5GFPoxmiQqesM8ucle1mys4VzR+bwf6cPJM1pScxl1b42LG/cxBh5HyGDC1tWOYbGjcw3/0qfa9oApPJZH/cpf2YIgSIQCASC/w2at+txIPY06oxG3q9/H4DlDcvZ0bEjIU4AXvbs5vsAnmMIlK4aaNqix7BUnNNnl6ZpSIcEt8YUlZ+8vI3/rq8H4NJx+Wyq7WZzdynj5T3w/DegtZKYZOHboZtIcjoZNeeb8OpSTjdsAqBOzsMz7WcMO+1ykCTiqQMxtG8n1ridi/6RyfYGLzMrMsl1W3l+XR0xRQPg6dW1bKrt5pWbp2IyyOxv81P59A/4lryGOEYsVz4LZjs8fqb+jDIqkL7xMjgzP90z/xQIgSIQCASC/w0aNuh/541lZ9euxOZfrvolbSHdxXF64eksqV3Ca80r+R5gCnZANKgv3odj1xv630VTwZGe2Ly9wcM3/72WojQ7F47OwyDLLNzWyIp9HcgS3HPeUL4xuZiG7hCv3j+Y8eyB1koA7o5+nX1aPv+5ZCTJpUnwph1iQQDyv/0cBTkjE9cx5w2D9u2UU8fbDV4A3t3Vmth/yoB0LhyTxz2v76Cy0cvDy/Zz6bgCXnz0t/wIPQhXPfdBjKWn6Cf8qBoifnBkgHxiK5EIgSIQCASCLxedB+DdX8OMH328NOCG9frfeWPZ1dErUA6Kk1vH3MpVQ69i9guz6Qh3sNKVygxvpx5DcqTr7HhN/3vwuYlNMUXlhy9upTMQpTMQZVNtd2Kf3Wzgr1eMZtbgLH0qbhvR3InQ8ioAqxjJs8pMrptWwqmDeqwXA2br6coD5iAdIk4ApMwhAJyW0sYLUQvXTCrgHx/WMCgridvPGMiknjRhRYU7XtjCfYv2sP7dBTxq+AdIEJx0O/axV/YOaHbof04ChEARCAQCwZeL934D21/UA04veuz4zgm0w66F+ufCSezc/1yf3TeMvIFvDf8WAHOK5/DsrmdZ7HL3CJTawwsUXzPUrdE/V8wFwBOM8eNXtrGjSbdmXDw2H09IrybrMBv49vRShuYm9xlm+OQ5eF/+FUYUfhC9hqG5yfzwzEG9B5z+C7Clwim3959D5lAAxvrfZ3WJhvTBB3znoseQhp+h7++ug10LuUiN0TZxKMs2bOYhwwOYJAXfgAtImvPz43t+JwAhUAQCgUDw5SEegT3vEJAk7DUrkTStXxGzw/LhAxD1Q85ItKJT2LXubgAemvUQLouLEekjAL0664z8mTy761neN2nEANPBQFlNg72LYN2/dIuJEgU0yBsLyfks39vOHS9sodkbxiBL/OXyUZwzIveYU5s+vJTbl/+VbY1+VFcBD14xGovR0HtAaqkegHs4soclPkpVy/S/l9yjp0yveBA2PA5KFAm4MXMI307xYPRF0MpmkXTZI8f37E4QQqAIBAKB4MtD1Qe8aYzzo9wC7m3r4ILuWkgp0t0+O9+AQWdB+oC+53jqYV2PpWXWz2kJt9EZ7sQgGRifPR6r0QpAXWeQSx9eRVxVcJW68US72WC1MMlTBweWwbu/gvq1+jj7l4K7CAC14jzufb2Sx1dUA1CS7uCBS0cyujDluG7JZJD563cv/mTPIylbr59StxbMTr1ui6cW/jwctJ5+QgWToGU7tO7QF31nFtJlT4PRcrSRTzhCoAgEAoHgy8PO1/hRph6M+rOMNC7Y/iJ01aBtfBpFTcOw+G6kM38Lk27oPWfZ70GJQNE0KJvF9tqlAJQklyTESSAS59tPrqfJEwYguXMQONew2mZl0up/6AXeAIw2XRC17YLO/WBL4VV1akKcfGNSEXedXYHd/AUur+Ou1f8AJOfDkrt1cZI/Hmb+DEpn6JVplz+gHzPlliMH/Z5ECIEiEAgEgi8Noerl0BPCYVFVWPpLNM1MZ+wHhNRpJBsfJum9X+sLttEM7ftg0zP6CbN+zo4mH/9c+yYAE7InAKCqGv/3/GZ2NftId1pId5o5EHRjcUKnwQAxDxjMMPYaPQ5E0+Dh6aBEiV35Mvc/ozf7u/OsCm6YUfaFP5M+TL4ZDCZIG6AH1x504Uy+GTb8R6+cO/aaEzrF40UIFIFAIBB8OQh7WR9qhGQ9u0UCYpqLLumPRNU8AKLyGIi8DlUfwIDT4b1fgaagDZzDr7cm8djyD3CUrUc2w/wPbOzftY6iNAeLdrRgNsg88s2xDMpK4tuvbGRbGOqNbhhzrl4W313YO5db1oNs5OWtndR3NZLmMHPV5OIv/JH0w2DSxchHcaTDLRt0wXJouf2TGCFQBAKBQPDloGU7K23WxNe0WDYt5r+Dz6CrFQ3ipnJQgJ2vgjMj0XDvUeOVPLa8CsnUgWzuQtMMeDoLWdLRWzPkt/OGMbApDK1RzhlaxrYNsForwDP7fpJtJjRNY3NdN0t3tlKe6WRqeTq/e0tPV/729FJsZgMnNfbUEz2Dj4UQKAKBQCD4ctC0lY1WPbAzNZbMAzV3gGLAkGol+awSOp/ZSTzmRpNA2rVQLzgG7Ew7g99s1Je7C6d6WdQCozNHc8O06dz0zEY8oRjfOaWE09vjdL9fDRKUX9dTdE0O8ua2JoJRhefX1bKnxZ+YjiTp3p5BWUlcO7UEwWeLECgCgUAg+FKgNm6mymQC4LzoLFyKk2ByjLKbJtIY0FNptaiEmlqKIXgAKl8C4K7GaQD85Jxinmn4IwBnlpzO1PJ03rhlGpWNHiY1R/EtqdUvpEFKqw0AyRDkrpe2JeZgNcmcOjCT1VUddAdjWIwyv794BGbjia26+lVECBSBQCAQnHw0b4PGzX031a8klCxjlAxMjYwBYHdBI5mGMNcseIk/SvlkaBbair9N9o679P1qPpu1Mn5y9mC6LC/SEe6g2FXMpQMvBaAg1Y57eyeeHnFiTLMS7whjr5cY4x/MNms1ATSG57m5bHwB543KxWU1EYkrdAaiJFlN+GJtzHnxMrId2dw86mYm5Ez44p7TVxghUAQCgUBwcuFvJf6vM9BiQUyHbN5vs0JyJmX2QnL2uAH4d+g5fvzf34MDmq3/R0ZoAA/tLuceWwpSqIv/Kqdy7dRSThuucvHrzwJw54Q7MRn0kQPrmvG8WQWA64wijBk2Op/ZhbbRy6+5hccyX+Lcm8cxtiC7zxQtRgM5ybqVZcG+RTQGGmkMNHLdouuYmDORW0bfwsiMvmXpD0dMiSXmIuiLsEkJBAKB4KRB0zSeW3I7s3JSOK2ogH+XjSM04AwYeCYHcocDMMA/GkNcpsPYzT6TbvnQFCtNZr2njhSQeCb3ZzypnsUzyiwuHpvH79b+DkVTmFkwk6l5UxPX8i7Vz086NR/XzEIsxX3L0I/1DyHvGLGl61v0Hj+DUwdjlI2saVrD19/8Ot9d+l12de467DmapvHXTX9lwrMTWFS96JM9rK84QqAIBAKB4KRhc/2H/MazhU6DAY8s8Se1lbNN7Tw7+nz2lEwEIK02H4BKo0xp/If4dv+cweo9NJnbAcgDflqZzc+j38DpdFEXWc2a5jVYDBZ+MP4HiWvF20Io3REwSCTN1FOIDUlm5CRz4pigIYwn4jnifFVNZVPrJgB+OumnLJy3kHnl8zBIBpbVL+OS1y/hZyt+RkyNJc6JKTHuX38/j2x9hLgaZ+GBhZ/Nw/uKIQSKQCAQCE4a6ms+BGBEXOLeKfeS58yjPdTOb9f+ltf2652Dx3vcAHQ2NLJlXypWg5P75s0gnKQAMOSQIqlTy538cb0eGHtrwU2k7DKiaRoA4b16gTVLSTLyISnCaV+rwJihu29cioPuSPcR57u/ez+eiAeb0cbgtMHkOnP55dRf8sr5r3BW8VkAvLLvFe784E7iapz93fu58s0reWLHE4kxqrxVn/RxfaURAkUgEAgEJw2tPr0xX7E5mQsGXMDrF7zOTyf+FJfZBYCsSRTKeo+bjIYNANw+eyBFaQ6SCtMAKAibybLpcR1K8lJagi1MkcYx890KuhbsJbyjA4DIHl2gWAf07ZljKUnGfb5eETZJcRzVgrKxZSMAIzNGYpJ7Y0mKk4v5w4w/8NCshzDKRhbVLOK6d67j0tcvZWfnTpItydw1QQ/krfZUE4wFP+kj+8oiBIpAIBAIThragnrhtHSLGwCTwcRlFZfx6BmPYjU4yQuWYjJY0OJh0lsqGV3oTtQgKSupoMXUgUGV+fesgXxnlouV7QsoCefx4/3XoEV0C0toZyfdb1UR3tsNgGVg/6Z+sl0XG664A0/0yAJlQ4suksZkjTns/lPyT+H+GfdjlIxsbN1IVI0yLW8aL5/3Ml8b/DUybBloaOzp2tPv3KW1S/mw/sPjeGqfPf/a9i/+uumv1HprT8j1QQgUgUAgEJxEtIZ1q0amLbPP9iFpQxgt/Z5B1d8EQOmuITfYwdNfG4HRILNnzx6aljaxzr4bAN/+Siwp68gJpfHH+u9jiEjILj22JLi+Bf+yelA1bMPTMWX3+oTi7e3E29oSAiVJceAJ9wqUjS0buXLhlfxn+3/QNC0hUMZljTviPc0snMl9M+5jaNpQfjbpZzw06yEy7BkAVKRWALCzc2efc/Z27eW2927je+9+76gWnFpvLRElcsT9nwRN05i/ez6PbH2EWp8QKAKBQCAQ0BbXK7VmJOUltoVjCj95eRtLK/2Mj+jN75TOKtA05NoqmpqaeOGFF2hvbUd16bEj2oEQNXX7+U3t93DErJjynGR9d5ReEr8H15xiUr9WgdTTUC+4aRP7z5jDgQvmgRwHwISRQMCHpmk8teMprnvnOra2b+WBDQ/wxoE3aA21YpSNDE8fftT7mlU0i/nnzOfSQZcmrge9AuWj2T5P7XgKgLgWZ1XTqsOO+fj2x5n78lx+vuLnR732x6XKU0VzoBmzbGZs1tjPdOyPgxAoAoFAIDhpaFN1a0CmuxjQ3+bvemkbz6ypRVE1Rlr0Uvf+sB8Nia4dO5g/fz6xmJ4lYzHbUVAoiGRx+rZRpMXdxNNl0q8dhsFlQbb3lv+ylECsoRGA0PZK6r59PWowiNLRQWRXJYpBBcDT3ckPP/ghf1j3B+JanEx7JhoaP17+YwCGpQ3DauztEfRxGJw2GIDdnbsT29pD7bxx4I3E91WN/QXKMzuf4YENDwCwo2PHJ7r2kVjZuBLQ3VY2o+0zHfvjIASKQCAQCE4KNE2jVdJFQUbqIAD+uewAL29qwCBL/OsbY0mWdXfMpuLzqSqazSubN+PxeDBFowB0NjdRn6qnG48O6tYJ9zmlGBy6y8Z9rh78mnx2ITWXXcKB887Du3gxddddh+r3ox20pqxfT9yiZ/tsqtnA29VvY5SM3DnhTl4676U+LqhPY2UocenxMzXemkR20fO7nyemxkgyJQGwomFFYh/Agj0L+N3a3yW+Nwea++z/tKxoXAHA1Nypn9mYnwQhUAQCgUBwUuDxNRDrEQgZ6YNZsqOFP7yjuz5+ce4Qpme6AAOKquBXNXYNyaPVasUUjTJ92QcABBQFb7GaGNNvCJI8ICvx3T4qk7x7p6IFdqB4PGjBIA23fA/F40EaPYr3v34lS2fNJLB+A2qP8cClOMm0ZfLvM//NlYOvJNmSzMOzH8Zu1MXS5NzJn/ieC1wFSEj4Y346wh2E42Ge3/U8AHdOvBOzbKYl2MIBzwEAXt//OvesugeAr1V8DYCwcvRaLR8HX9TH+ma98NyUvCmfyZifFFHqXiAQCAQnBa1teqCoW1Gp8pq4df5aNA2unFjINyYXE9yqV4r1xVXiJi++5CCSpjEn2U3p927hgy1biJnNWEpSQM/+5UBWCxWGvu/ikknGt3hxn22mwYNZMXs2rbW1kJFBzYqVlIy1Q0eEMUmjuP/c60m3pSeOL08p55XzX2FP1x4m5kz8xPdsMVjIdebS4G+gxltDlaeKrkgXuY5czi45m9f2v8aapjWsb17P/u79/HTFT9HQuGzQZdw54U7ern6bznAnzcFm3Fb3cV+3M9xJrbeWBn8DDf4G6n31+GN+NrZsJKyEKXYVM8A94BPf12eBECgCgUAg+MRomsaqplUUuYrIc+Yd+wR0l8T7de+jaEqf7ftr9ZTaVE3mysdWE4gqTCpN5RfnDQUgUq3XL/FoBqJm3WJQXDiAkjMvYPXLe9CkWiCAW3Oyyb6d0cEKPAPi/a6vRiL4318GQPot30Xp6mbD0CFUbdmSOOaDiRP4sO1tZshDua78apyHiJOD5DhzyHHmHNc9H40iVxEN/gaqPdWJ4NgrB1+JUTYyNmssa5rW8OyuZ6n11qJqKvPK5/HjiT9GkiSyHdm6QAk0JwJuj8WCPQv4xapfHPWYn0/+eZ9g3hOBECgCgUAg+MQ8s/MZfr/u94zOHM2TZz15XOf8ePmPWde87oj7zVEj7f4oAzKd/OPKsSjVXjwrGwlX6gLFq2rELT79c42B+b9aCxoYku3ETQF81XX8d+h7PNn2Gt8efEu/8bsXLEANBjFmZ5N+001s2LCBdW/oQanWYDZhezOK0Qio7DE0MjIY63O+pqggSUjyZ7OAF7mKWNm4kmd3PcsBzwEcJgcXDrgQ6E1fPujimZY3jbsn340s6VahbHs2Ozp20BxoPu7rvbLvFQDSbekUuYrId+aTl5RHKBbi1f2vcuGACxmfPf4zubdPgxAoAoFAIPhEtIfa+f263wMk+tEcC2/Um6i+OrtoNgZk8NajtO5ksUmPHZEUM+OLU/jPnKEEn9tN+77uvmMoKnGzFwCly4qsQVqeE79Hz6TpaGzk+1/7ISsbVzKzcGbivMi+ffiWLKHj0ccASLvuOmpqali4UO+FY/cVYQ8UELb3LvZGDKhB3QoT7wzjXVpLcGMLjgnZpMz7bFwgRa4igESxtgsHXIjT7ATol7587bBrMci9ZfmzHXqX5aZA03Fdyxv1sq19GwDPnP0Muc7cPvtvH3f7J7iDzwchUAQCgUDwsYmpMX74wQ/7bFM1NfFmfyTWNq1F0RSKXcU8kH06vPdraNkOwJvOJP7qTiazYzZXmjS6Ht6qn2SQsJQkE+kRKp1aGFWOARJlFcVMOrccDY0nH9DH6ezu5sLMUYzKHJW4bryzk5prrkFp0zN8rCNHslUay6rHX0aTNCyhDEYOHo/TbWHFqnqCSdUARIkTawvS9co+AuuaQdGzZYKb2nCfV45k+PRWlGJXceKzzWjjG4O/kfj+0fTljxaEOyhQjmRBUTWVKk8VcTVOqbu0z/P/qDg52RACRSAQCAQfm9+t+R3rmtdhMVgSlUw9EQ8p1v5l4w/lYArrlK4WmH+FvtHigim3cPakG1nx1C6uC4YwSyqaphJvXIuk7sEgZxNvUtllGUvQqvetycrM4NybRuPv6uTtf/wFtXsXuAfTFldQVRVZ1sWSpmk03fVjlLZ2TAUFOGfMgLMuZ/ujB4hk6ZaYyeNOYcbFQ6na0o5jSSEuyUyzcw9RKU5kbzeRg2Xxy91E63xoEYVYkx9zftKnfpYHLSgAN4+6uV9cyx3j7uC+9fdx54Q7+8WFHEug3L/+fp7cobveZhfNxt3TQmBq3olNIT4ehEARCAQCwcdi/q75/HfPf5GQuG/Gffxk+U/wRr10hjtxW9xUeasocZX0W0w1TWNVTxGwqW01YLLDxO/AlO+BPRWAnOYwZklC6a4htO5RtIDemye0ATSg6pRpRA26ZcVXs5/dq5az5F8PEfZ5kZFA1YgYDdRt3kzRGL0/TtdTT+NftgzVasX5u9+RPXYMa14/QNzkB0nDbnMw4+LhSJKEK11DU4OEI1ZwQgQ9/sRc5MJ1RhHWMjft/6kkvKuTSJX3MxEoec48zi09Fw2Nrw/+er/93xjyDWbkz+gjZA5yUKBsbN3I6S+cjs1o496p9zIqcxTL6pYlxImExOKaxYnU6Cm5JzaF+HgQAkUgEAgEx83qptWJImG3jrmVGfkzmLtJZr1bozPcyYaWDdy7+l6uHno13x/3/T7nNgYaafA3YtQ0xsUluGUDuHrdDJqmUe6PA0Zi1R+SdccN2MeNI7J3L+3/+CfemhZUg4W4KQTYULvaeePP+lysSS7CPi/GYJi408aORYsoGjOG8M6dtP7xj8QNBj687FJaX3+N63OyObCpjZhJD7QtKMxHkiQObFzHG3/+PfG4jGzSa4xECJF+7TAsA9wJwWUpcfUIFA9Jpxxf5tLRkCSJ35zymyPulyWZ4uTiw+7LcfRaW1qCLQA8ueNJ8px5/GzFzwD4+uCv0xHq4K3qtwjGgwxJG/KlECiiUJtAIBAIjovOcCfff//7KJrCOaXncO2wa/G/+y7zXmvnuncUOsOdiQyRp3Y8xb6ufX3OP9hYb0gkin3IBX3EiRqK07q1jcGaHgCqqS24L7oIy4ABuM4+m5zf/paQLQNVU1Cserl7ORRAkmQmzruMC390NwAGfzcAVc3NKP4ADd+/AzUWY8O559Ia0V1RG9ZspbMxQNysC5S8vDw2vfMGr/zhXmKRMJoSRIp2AhCRNMzlyX2sQebiZACi1Z7PtILrJyHLnsUF5Rcwp3gOd4y7A4DlDcv50Yc/oivSxaCUQfzf2P/jWyO+hYSEQTLwyym/xCif/PaJk3+GAoFAIDgpWNGwAm/US0lyCb+Y8gskScK3eAkAqX5Y27krkSGiaAp/WPcHHp79cGJx39i4BoCx4QiM7g0EjdR66Xx6J4o3ikGSUP0tOMYNRTKbE8fYhg3F/r0fo6yoBlkGJc7cb91IemExWSVlhP16k0Gjv40IObS5XNT//ndEDxxg58QJVPeIGoDtG3bjYjg4AqBA+44trHvvHQDMNjvRUJBkRwtdAJJEJBLBZuvtSWPOc4IEajCO6o9hSOqd5xeNJEncO/VeQLdAPbfrORr8DaxrXofVYOUP0/+A2WBmYMpA/nn6PzEZTAzqaSNwsiMsKAKBQCA4Lg6Kj6lZE7BsfwXtqYvxv/UyAI4wvLj7BUDPSjHJJlY1reL9uvcT52+oXw7AWJMbiqagaRr+VY20PbwVxRtNHBdv2oJtxIh+1w8nZRM16m4MGxpDZ8wiq0TvrWN1OjFabMixKMaYjCbL7Fu3nrqCfLaV6P1uHKECACIGD5Z8PxEliAQcWKaLrGmXf5Npl+vCSYk1gaovkaFQqM88JKOM3CNKFE/k4z/IzwlJkphVOCvx/c4Jd1LqLk18n5I35aSob3K8CAuKQCAQCI6Lba16pdXhqx4Br4dQqxklmoVlxKUY23YSDGwDk8TFAy+mO9LNY9se44/r/8hUWx7eD35HdbQTSdMYNeQyYl0+vG/WEtreBcAyNczDWpi/b34JY8MG9sbOo/VvvZVdkaC2spO4Tc+6SXU5+83PlZ5FZ0M1hrCNuCnAzrJSulL0rKJUuQTZk0/Y1oIiRamP67VYTO1NyJrGWd/7AYOnzqCtpgoAX3c9cmo2KtF+AgXAmGwh6o2idEfgMIGymqp9ZoXcPg4XDriQF/a8wBlFZySKvX0S4u0hZIcJ2XbiZIIQKAKBQCA4JhElwq6u3QAMD/ohrRxfWzFqjgNz6WmE8ybiCH+fqAkm5UwiPymfV/e9Sp2vjqc//DlJ1R9AehqDojHCHxrofn4hhuR8NFUhUrmAMfuX8HDPtTzpA9mwwnfYecTNMcBIXl5+v32puTl0NlRjDCpEkqA9IwOANHs20oF8bA4zKWXF7N2vF0QzKDHM7Y2MOfs8Bk+dAUB6QREWh4NIIICkqGCAYI/76FAMbgvU+Yh7ImiaRnhHB5EDHmItQWLNAdRQnLQrKrAN618i//OkzF3GyitWYpAMH7tUvaZphHd2Ys5PouuVfUSqvaReNhD78IzPabZHRwgUgUAgEByTXZ27iGsKKYpC/qir0c6+D9+ZZ9FVOJdkwGS24QxBOMVGubscg2zgtrG38ZPlP+Fh307sbjcAc1OHE96cjyE5HzXsIbzuEZSOvX2uVVd+LgBFw9IoG5OpX39VEw17O1HNehBtcXn/Kq7JmfqxxmAIOGRxripGQmLmVYNR7Dk0NNWT5rDRufJdklJSmXppbzyMJMtUTJnBlsVvQqwbzE6CnZ39rmVI1mNaFE+EwOomul/d3++Y4Ja2L1ygAJ84ANb3fj3ed6oxZtiIt4dAA3Pep0+j/qSIGBSBQCAQHJPtbXr8yfBIFGnQ2UT37ydWW4vs0EWBQZLICiUxNG1oohT7OaXnMCJ9BEFU2o36tjNL78bgKkRTFa6So5w99Tq2/PsNBm3aiHPmTAL2LFqtpSDB1IvLGTwlh8FTcph11WAUYwAkCRSFgsMIFFeGXhME1YM5rNdVSe0uQ9bMDD81H3dGhFhTHd+//f9Qd25GjscYf95FmKx9q7WedvW3ySodgqTqNVBCHk+/ax0UKNEaH563qgGwjcog5aIBuM/X42KidYe3Ap2MRBv9eJfUABBv08WJpdyNMdV6jDM/P4RAEQgEAsHRURW27n8bgOFRBYqm4Fv6LhpgtvTGguSEUxiePhzFrwe8ypLM/TPuI0nVe+zMypqIvFIvNe/p2EOV2cJPzx/B5VPKkG028h/8C9qtvwWgYHAqKdmOxNiudBsjz9G/G2MRnCmp/abpztYFikQnSZ4KcmtyMYTzSMtzMGp2Os/fcxdv/u1+nv/FnXjbWrAnuxk+84x+4xiMJgqGjkJS9B48QV9/oWFw60Gy0RovWlTBXJhE6qWDcIzPxj4mEyRQuiMovmi/c082tLhK5/O7QdGQzL19fhzjsk7grIRAEQgEAsGxePVmtrWsB2CEewCY7fjefZewNQ2HoXcZyY5kMqVzBE2/WoPnLT3YNFuTebGhiWs9Xu4YdRfRBr1uyBZvHT+YM4irp5YkzpeMRtrDuuDJG+juN432dr0hnt14+PiKvEFDkA1GlGgnxD3ELOX6nGfms/RffyPQpbtqmvbqsTRTLrkSk+XwFgJ7chIoCtA3BiUYDLJhwwa6tUCf45Om5yeCYmWLEWOmXrE1WnvyW1E8i2qItwSRnSYybhiBZDVgSDZjG/rFu6cORcSgCAQCgeDw+FpAU+mqXEBdgW6dGDr+RmItrYS3bqU7ayJph7zmZiiZ5O3SLQu+ZfWYS5Ox2arIjSv8n+Kic7lCUDOh+JrYlGThd9NL0VSN+t1d7FzZhL8rTNM+3Z2SO6B/T5/WNr3svTupfwYPgMXuoGj4SKo2b0CN7kO2pQHQWb+aAxvWYjAaScsvorV6P/mDhzFi1pwj3rrTnZywoAT8IcLhMKtXr2bVqlVEIhFys3M4myG91y5z9znfXJBEvCVItM6HbWja0Z7yCSVS5cH/YT0AKfMGYM51kn37WJAlJNOJtWGcFALld7/7HXfddRe33norf/7zn0/0dAQCgUBQvRyeuhCUCNtsupWh2FVM8pB5dM1/HoBQ+TQMh1gyhpKLVB8GWS9q1vX8Tsyz6zAAMfs4guv1GiaRTU9SevWtbH6nhh0rmvB1hPtc2mCSySzqDc6MRqOsWbOGVo9ujcjoCYY9HOUTplC1eQNKbC9G20QMhg7Wv/4sANO/fi0VU6azdek7DJ95BpJ85AXY5nIi9VhQ6jxd/OUvf+mTbtzU0kycQRgxYHBb+qXjmguSCK5vIVrnPeI1TjRqJE7nC3tAA/vYrISQMrgsxzjzi+GEu3jWrVvHww8/zIjDFOURCAQCwQkgFoLXvgc9XYq3WfQFa3j6cAB87y5FAyKO4j6nJRuKQbahxaMonjrUoErnohCaJhGRRgIQb6lkd9IAtE0G1rxWha8jjNlmZMjU3p4yNqcJg1Ffnvx+P//5z39YunSpvlNTKSjq3zTvIOXjJ4EkoSmtqEo30cCbKLEYpWPGM/rMc7Enu5l04WU43Efvumx1OBMWFH88RigUIi0tjYsvvhin04mmabRLuvg46M45FEuxC9BdPJqiHvYamqIRrfehqSemXL7njSqUzjAGtwX3uaXHPuEL5oRaUPx+P1deeSWPPvoov/rVr07kVAQCgUBwkGV/gM794MwGg5nNDn2BHZ4xHMUfILhqNX5HHiZ6+uZoGpIkYTDpb+BK534iW5/DMfMnRELl+I0XEI8V6vu6a2goOA00yC5NZtj0XErHZGIyG0jLT+LD5/cw9qxiNE1jx/q1vP7OIsJxBeJxzN2tGIIBsgqvPOLU7a5kMgpLaKs5QCzwBprShsOdwpwbb/tYdUEsDgeGSBBUFbts4owLzmX48OEYDAa2b9/Orl276C7WyGmQD7u4GzPsyHYjajBOtMGPpdDV7xjvu7X4ltZiG5ZG6hWDkQxfXGG30M4OAuuaQYLUSwciW08Kh0ofTqgF5eabb2bu3Lmcfvrpxzw2Eong9Xr7/BEIBALBZ4CvBf4+Ed78ATRthRV/0bfPvR/v9UtZbzEBegG2wPLlaLEYnrLJpPVYOQIofYZTOvei+puJVb0BgCf+TfyNesBlONiFYnQiyxLn3TaKQZNyMPVkjow4LZ9v/Wk6gyZl8O9f/JgXXnudcFxBioZJqt+Lpa0RSyRAam7/Im2Hkj9kKACaosesTLv8m9hdyR/rkVgcTuRoBOfeLZwaTWHUqFHIskz3ggVYF74JQKc7Qu7PJmHKsBPaupVodXXifEmWepsKVvVfrzRFxf9hAwCh7R143qnud8znhRKI0bVArz3jnJqHpdTd7xjf0qX4li5Fi8W+sHl9lBMmmebPn8/GjRtZt27dcR3/29/+lnvuuedznpVAIBD8D7LxCWjbpf/Zuxg0BYacD4PPYdn+14lrCuXuckqSS2h49x8A+HPHMdCkv/G3WhSc0d7lxJrSQMxmI7ztHeyTziPWZkLq0TCdmn5cRlFSQpgcisVm5PXHH6VOM4FBxmmUOeuMuQwaP4n6ndsxGAxY7I5+5x1KfsVQNr31OgCywUD5+Mkf+5EcvIakKoQDEaJ1dTT9/OcEV63GnZkJZaXUN9QjmQwEVq+h9uqr9XsfOhTX2WfjOvssLCWungqz3Tgm5fQZP7y7Ey3aK+zCOzvg7BK+CHzL6lD9MYyZdpLnFCe2RyIR3n33XSoqKvD87e/Ie/dSeM8vcF900Rcyr49yQgRKXV0dt956K4sXL8ZqPb4iMHfddRe333574rvX66WgoODzmqJAIBD8b6CqsOmp3u9dVWBNhrP+CMDimsUAzCqchRaL4V/2AYpswk6yHiCbambTlr+Rl3s9FoOZ9p1vsTb/GkZO34brnUfZWLmK4ZnTAdCUGG02vbZG7gD3YadTu28vG6pqQTaQl5HO1dd/B5NJt+AUjxh9XLeUVzE08blg6AiszsNn/RwNg9GIJBnRtDi+2noOnHc+WiiEZLGQ1hMs6/V6CQaDeN54PXFeuLKScGUlrfffT/Yv/gTYCO/uovHulYe9jm1oGqHKDuJdkYSr7PMmsq8bANesgj6ZOoufe5n11bvYsmIdtoJyPMOGcX5BEe7PfUaH54S4eDZs2EBraytjxozBaDRiNBpZtmwZDz74IEajEUVR+p1jsVhwuVx9/ggEAoHgU1K1DLprwWjr3XbGrwlak7hpyU28V/ceAKcXnU5gzVpUjwdv/miKeha2ZR1biMcDvNv0JDv3rmSvMZWYYmCfTQ+KTVn/SmJYyWDCk1YBHFmgrFiyGGQDVtQ+4uTj4HCnkNLjBhowYcrHPv8gRqP+Ah2KRtFCIewTJpD+xIscmPBdLGHd9dHR2op/6bsA5D1wP9l3/xzryBGoGnT884+Yco9s7ZHtRlxnFutV+eMqqu/zc6doMQVN01DDcWJNeg0XS4k7sV+JRNi6V3f7hI0qXal2VINMzHfiSt2fEAvKrFmz2LZtW59t11xzDRUVFfzoRz/CYOhv9hMIBALBZ4wSg8U/0z+PvhIyh0CoE0Z/nUc2/oUPGz7EKBu5bth1DEoZRONLdwCgjjgHp0Eigsbmls1kA95YB754HE/OMAC6uyWakwrI9tURyA7jaLYS2PM2wcxZIEFOWd+YkLaaKtrra6mtrwejmYGlpZ9InBxk9rduomrzBoaeeuwYxyNhNNuIxfzELVayf3kP3RWn8cp/dhJR8kFrAQI0btyIq6sLg9uNOvoU9m/qYO+QEjpTggyrfIwR+bVk3HDuYceXjDKSLGFItqB0R4h3hTG4zJ94vkci1hyg5W+bMaVb9XotGhjTrIlraZrGil/9maipr3HAHHMzclr5Zz6f4+WECJSkpCSGDRvWZ5vD4SAtLa3fdoFAIBB8Tqx5GJq3gdUNM34ETr2+SJ23jid3PAnA/TPuZ2bhTJTubnxLlgDgNOpumg+UGLZYV2I4rzOXCL2WmB2DziJ7/SM4at7E4C6lub0GMiEtz4nFrouPjvo6Vvz3aSr37iPucKE4deEybtopn+rWCoaOoGDopytfYXa6CAXaMIwaxR7rONY/1PtiLWkuIEDzlq1IDjcfzLyY6F8exxB3YIw7MBqcNGdNoOA/j+Oed/5hXTehbdtp++uDWIZciwIonWEo+uy9A+F93RBXiTUHiTUH9Xsr0Z+zpmk0/fF+VkYUsIOsmFANuiWnNK8Ck+XEGQxOvrwigUAgEHwx7NKzbDjtJwlxAnDf+vuIqTGm5E7htILTAPAsXIQxdzKxVBtpGiDBfC3A7HhvGXi/I/XQHsKkl4+F9eB/9z0sgxrpdg0CdPdOd0szq158lh0rPiSYU4SS1RtTKGsaBSUnvi6H2aa7Z5qqOmhtrAZg2Iw8OhsD7GvQhVh7UyM1k0/Dbz5Y0r6387FqLCL8zl7C27djGz68z9iaplF9ySUASPbJSNZy4p19C9Z9VsRbg/22WXoESvvf/s4bu72EC2QkTea0SXN5d80bSJrMtNPHfy7zOV5OGoHy/vvvn+gpCAQCwf8Wfj0Nl+xey/WqxlW8W/cuBsnAD8f/MPHmH94VwjrqSg6mNdTHVWw2DxK9RcY0NYwkJ1FpijM0ZqS9JY42YDjs3aaXxh83F4BYcCuP/99TxIxmQsWD0MxWDAYZTQNVVSkrKvxCgkWPhcWhB9dqWgSjSebUr1cwaGI2q17aTFWN7h6py83VD9Zg+IDxmJNVamtraWtrI2T3EnDk0L1gQT+BEvjgg8TneGc9ptxy4l2fj0CJ9QiUlEsGEmvwE6n1YhucSvujj7L6zQ00TigGNCaPPZWRE/JoPzATJdqG2eIFTlyZ/pNGoAgEAoHgCybQBoBmT+fZnc9Q7i7nD+v+AMClgy5jxU4De5OaOGNINtGABeMh4RHvKjEuLojTvAdiKZkYQgE0Tc9uCefZyNSstNb48I47j+S924gZbfgduWiayu6VrxBxuonkFqMh4Xa7ufTSS3E6nWzevJlRo0Z90U/isCSl6lYGs03hoh+NIzXHxofP/oe1r76IZh8Iqb3uGGekkPMuOROTxUBjYyOPPPIIMZOXruRykl55FceUKbjOOAM1HKbr2efoeOSRxLlKWy2m3B4Xz+dAvE0XKKZsB46xunuu88mn2P/wc2yZMwekEJnJBQwocvLYLddRMXU6ne0NPPXDRznzpv9j6IxZn8u8joUQKAKBQPC/SCwMEb2A2LpgPb9b+7vELrfFTVr0XH6+sBKAJKuR5/1hXKn6/pCqUV9opaxxN4rNSSS7EDkcxNoaIozG7BmFlHo0Wmt8NJtLSAZ8SYUgydgdbTSHrEQze7JsBgxg3rx52O16ufjp06d/cc/gGCRnugEoH52MPSnOgt/8jNrtW/WdwQPAqMSxwyvGJOI1srOzMcom4sRoqxhDwbsf0PC9W/Gdcw7BNWuIt+nC0FReRldTCJenGeBzsaAo/ihqQC/Zb8zQ3VLeRYto+P39LJ99NXFTN0bJwtevvYQ3/nAPmqayc8Uy0DRkg4GS0eM+8zkdLye8F49AIBAITgDBdv1vg5lN3Xv77Lp2yA089G5j4rsvHMdq0a0FtVGVDwJxvjO3hIbdO1AtutNHNVtQ1SCOYieXTCigbLQe09JUFyVmtBG06d9VbT/RNL1o2fTp07niiisS4uRkw9rj4mk+sIen7rqN2u1bMVmsmKw2JOKJ48zhdIoHZye+y7JMTnYeAC0OB0lXXQeA9403iLe1YcrNJefXv6brhr+wdvxPaEzS420UTwQtpmfSaKqGb0UDgQ0th52bpmqE93bhebuKaJ3vsMcAxFt1q5bBbUHuKYzXNf95Noy5FJ+7G4ALLriArpoDNO3b3TO47rYrGzvxY1fg/SwRFhSBQCD4X+Rg/Ikjg23tenaKWTZz4YAL2X9gGJ5QPRVZSfwnPY2IN4JUo1tbdkcUDBMyMLXsQVNVbGmZRABkA5oUYkR5mH9/7zpmXnMDqbkOOhsDBM+4mtDuZjRNoztaB64snHYbp556KvJROgqfaCwOPUi2tWo/ACm5+Zz//R+zfP6T7Fu3GkebibjTjdNbTjxcw5qXP6C9rob22mq6VBlcaYQN3Xinf438MSPoevZZks6YjfuSS8BgZO3N7wOwq/BMBkhhUK2E93RjGeCm8/ndhCs7QALroBQMTt2/Fm0KEFjbRGhbO6pfz7YJ7/eQdfOow95DrMe9c7ChoRoKsatBpnaCvn/IwBEUF2TyzE+/D0ByZhaeVl0UDZs5+7N9oB8TIVAEAoHgf5GAbkHRHGkJgfKvOf/CqpZy9qsfAnDv1FLiL1XpLQFl/e176BlFTDi/jNf/pLuELOmZ4NUzeQyOOG01K/G1t7HqhWcZOO1WOhsDdJZNR0tqRWvsIGTTF8qx48ef1OIEwJbUW6RswMQpzLnhNix2O/mDh7Fv3WqMnmbsymQ0tYa3H/prn3MVmxNcacRNXrYvq2fQj07HNeeMxP6qre0ocpigox5byIHi68bgHEFgXTPe9+uIHbSKaBDZ2419dCZqRKHtoc1oMb15o2Q1oIUVYo1+NEVFMvR/ngerxpp6BEpw/QZ2DqxANfhwWF3MPfd0XvrVz/B3tJOaV8DFP7mX/95zF2a7neKRYz7Lx/mxEQJFIBAI/hcJ6BaUBnsKneEqjLKR8ngRf3hhO7IGc4ZlM7A7zqHOg4iq4Uy3EY/FqN6yQd9otgC6QEkpMlNXuZW4M5mWmiomXay7F2p3deNIdhI2bkBxJAEaY8aM/eLu9RNSOHQkQ045jZwBFYw84+xEZlH+YD3rSY03omkaMnqsTs6AQZSNm4TZamXpfx4FTUM1RGmu7+DVP21izreHEQsr7FnXws4VjQSSqonYWgk7YEVrkOmMILxLT1OWbAaUjv3I9mJCezqxj84k1hxAi6nIdiMplw0iemA93qUgYSPWGsKc07dqbWh3J6Ft7SCBbGkn1mCh/f01+Ht01/QZp7DoH3+mtXo/NlcyF955N0lp6Vzz538CIMsntmiqECgCgUDwv0hPBs82ixlCkB0fRNNft3O9BpeRhEu2E9zS1ueUkApJbgv1O7YRDYVwpKTiC/UGdjbX1hCzOIhm5SOH/NTuXIUrYyjethCejgDB1CBgoCw7i+TkExfbcLyYrFbO+u73+23PKCpBNhpR4xE0pZmwfw8AZ1x/C+mFxWiqyqoXnyMYCaFa7eDw07TPwlM/XYXSY/3Q0Ihl9Ra5q3cYkR1G1EAcY5oVc24D7YsXYJ/2fcK72tE0jVizXqLelOckuPwVWu+7D9vU2zGmDyLW4O8jUNRInO6X9gFgLIRFf38XZ6CBqNlBfJweLNtRuZ4DG9ZiNJm54Ac/IzlTj6M50cLkICe3fU0gEAgEnwuRhhh+ZTyPR/R4gxl1M7D1lDRJRkLa2o7S0TerJKRpOJIt7N+wBoDiUeMJBAKJ/TENFKceTKvanKzetZeiYboQiZjb0EwGpFiE0+fM+bxv73NFNhhwZ+mBvvHQajRNJbt8IOmFxQBIskzRiNEYQrplqWSqg7Q8B0pMRZYlioalMe7CTFSpt/dOyGrCMcmBY1IO6TeOpHv+v1A696PFI2ghracKrP6so1VbaP3jH3ULTXedvq2hb6Cs950aFE8EQ4qF2sZ9tGRPYH/ZPA6UTAZJwyDJ7Fi8EIAzb76d3IEVn+sz+yQIgSIQCARfUdRwHE3T+m33LW+gbdMkumN3c/O+G6nwD+KC4BAA/pUu4bxqCI7x2RhcZmRb78IXVjXsySb2r18LQObgoX3GVc0WlJ7qq6gqMbONbY1L0FCJGfVUWls0THbxia8S+2lJydGzdNR4FQADJ07ts7945BgMIV1QtLQ3ctq3Szjlm4Wcd9dgJl+Rj1/WhaFN7bGoGCTCSiMpF5QT3ryOyN59oMZRuvTxYw2+hEAJrlkKkkTmD3+I4qsHILS1FTWoC55IjRf/Kj0LK2XeANob/ahSjLghRMzcrU/Q14UETLv8mwyaPO1zeEKfHuHiEQgEgq8ggfUtdC3YQ/LcUpKm6Yuppmp43jiAf2UjIBGTYpRFCvhT3a0AGLPs/PzWMUiyBIPTiNbVsX/2NSRd8DAABgl87fX4OtowWixYM7L6XDPudIMsY7NZGeiysaWpnTZPJ7aMnURV3ZqQnuw6KarEflpScnL7fM8q7dtUr2zsRExPPEoYqK+v5x//fOiw46itdUjpBWhGmY6aGrKAzv/8BwDHjOnEOxsgo4JonYdYvQeQ0MJt5P/1QazTT2PXknqKADWg0PibNWTeNIquBXtBA/uYTCxlLloUiY7M1SD1ilVDKMDgU05jwgWXfHYP5TNGWFAEAsHHJt4Rou2xbYR2dJzoqQgOg+KP0v3GAdAg2FNHQ40qdDy1o0ecQLL7Tb5f/GPqzfp+OclE2jeG6OKkB9/iJXBIKfuQSebABt16UjxiND6fLjoSdUx6snKKioqZNPtMbHV7QVUJGTpQTbqlICert+fPl5mPCpTM4rI+361OJ4NGjsHg68YgSVgsln5/5EgYo7cLKaa70jqaWgnv2UNg+XI02cCeUd+m2VUIQGhHK1pMQlMVks+fRbB8Av/99To2u6bSGeyxcsU1Op6oJN4aRHaYSJ5bSmTfPrqSzX3ECYAh5Gfk7LNParEoLCgCgeBj0/7EDuKtQSJVHvJ/fXKah/+X8S6qQQvrhcRiTQHiHSE6/7uHaI0XjDKpl5Rheue/7LfY+GHhn3gs45+UTivHmGbrM45v8WIAutM7aay1U2+opOsFvaNx6ZgJrNqyBYCBAweyefPmxHmFhYVklw0kw+2mtamacF6PS0fTyMzN/5zv/ovhoIsHwJWRhdXp7HfM8JlnsPtXP8VosTD3lh9QPn5SYt/uVR/yxp9/D4AcC6Pa7LR1B+l8Uu8i7TntKnZv8ZJiLaEQUHs0iBpsp6rwDDb+YQOaqouO1f4Y5+XsJu4ZhOKJ6nM6vRCDw0Truq1ELbo4nDJlKi6bhfeefhxLNEx2WV+rz8mGsKAIBIKPRaw12NsdVdFQI8qJnZCgD9E6H4F1eryH7DAB0PqPLURrvEhWAxmntWB/fw7tkS5USaLL6Kfg7Ip+4iRaW0to0yZ2DbyCZfuS2OlZT1fjksT+uCuFxsZGzGYzM2fOxGjU33eTk5MZMWIEkiQxdPpMjN5OrOgLpKm7DXd2Nl8FDhUomUeIqSkcOoLC4aOIRyK8et+veP/JR1n/+ku8/dCfWfbUvxPHSTFdVHQFInhfex1VMrDHrncS9ip9LR+tZicb3m1BUzVKR2cAEDMnEWzajSFZL+YmJ5lwjMtGUxQa3lpF3KCrm9btG4k31GDubiN3wCAMRtNn9DQ+H4QFRSAQfCz8Kxr6fI/WerEOSDlBsxEciqZqdL22X48/GJ2JwWXGt6we1R9DMkOG6wHMH+pWkQZXj6tFcWMz9V2o1ECA+u/dStCaTmPutJ6xPYn9ZeMmsWK1nskzefJkXC4Xl156KYFAgOHDhyfEyuBTTmX5/Ccx7t6CLTUTuasNd1Zf18iXFYc7BZPVRiwcIrPk8AJFkmUuvPMXfPDM42x881U2LHy13/5hp57Ohk2bAPBbrWjRKG3jL8fv00WdAsSVGEaD/jPaHTFjNMuc9o0KBo7P5t//9y6hEHQ3+8i4JA/PwipcpxchmWQ6n3yKjuYQSqn+QtG4eT0ta/TaNHmDh3GyIwSKQCD4WIT3dgMg242owTiRKo8QKCcJwQ0txOp8SBYDyWeVEO8M4VtWj2SSSU9/FHPnYrC6YeqtfEg6HPgjZi2FeFcXtdddh2PiJDJ/cAeNd95FZNcuugecmRhbVQMoVgczL7kcOaeAza+/gc1mY/LkyYDu5vkorvRMCoaOoK5yK8b2JpAkkjOz+h33ZUSSJDKKSmjcvYPcAYOPeJzBaOS0q75N7sDBbFm0EJsrmfSCItILisgqG4CvvY1Na3WxF7aZUWQzB1KnQQQKh6ZRW9kBUm9dEo8CFeMzGThet0S50y2E6iJ4uxRsI5Kwj5qIIclMrKGB5j8/SMOwG9AMdaBp2M1mIhFdoBSNGPX5PZzPCCFQBALBcRPvDust4WVIOq0Az8IqIlXeIx6vadpJHYT3VSBS6yW0vR3npFw8b1cDPfEHLjMGl5nUr1VgckYxPfmKfsINy8FdQO3bfwLAYUjH+8ZCIjt2Etmxk3hHO77Fi5FMJoJTL4RqPXU1mgTh7MFUNrfRuVe/zrRp07BarUed35DpM6mr1DsAO1PTMJrNn/kzOFHMueFWWvbvoXD4yGMeO2jytMOm88qynHDxRO1GvDfeR6hSwpVuZdZVg3n8R8vZGlIZbYctHh9gT7h2AFIK3DTVtRAwJFN//Xco+Ne/0DQTTb+4h9q0yXiSU4A6pFiUGV+7irT8QkI+L/kVQ/vN5WRDxKAIBILjJrJfN/Ob85KwVqQCuotH8Uf7HKdpGp63q2n61eqjdloVfHq6FuzF/0EDzX9YhxqIYcy04ZzS60axj8jAFFgFaJA5FNwFADQH9OwdtzkD36JFieO9r70OQOYvfklTs+5mGH9OCTG3nqlTVd+Ix+MhKSmJCRMmHHN+AydOwWixAJDSU9zsq0Jqbh6DTzntU4lwhzsFo3rQnRNnW7U+1oRzSvAGO3Fka9TFNLZtXUgNdowWAwWDUxPnu7P1uvWh5HxCW7ZQf+ONdM+fT9v6XVQVn41i1N07cjREal4BuQMrKBt77J/byYAQKAKB4LiJHNAFiinXQttf/4AhVQZFI7iptyS6pml436nB934daiBOqKe3iOCzR9M04i3BPtvc55bpTeO6auDlG2Dzs7DtRX1n+czEcR09FWSLFBfBDRv6jJF6zTXst44kFlawOkyMOSMflFifY2bMmIHJdOwgS7PNzoAJU/S55Xw14k8+SyRZJjk1DTms/xwD8U5Scx3Ekzp5+OGHqZNWo6FS3xMLlD8oBaNZd/l0Njawb+0zKLEq4gPGIDudBNeto+meX7Jr4NdQDWbkNN3CKUfCpOUVnJib/IQIF49AIDhuIlW6QGl682U+0MYzTtlCdtZwAuubcU7LRZIkfO/W4Xu/LnGO0hE6UdP9yqN4In2+24an6/FAmgavfw8OvA9bnus9oKxXoHhjejfjUzbVgKriG3Um2aeNxRpsp2HIBax9+QAAg05L5sDe3aimXtdMWloao0ePPu55nnLFVRjNZsadc+EnuMuvPu6cHJqb2lCtdmJmD3kTZBYsWICmaShajLjBj4TeQiC71IWmaWxetJAPnn6ceDSCZMigq7uU0O1/xfnkPVRHculOGUjc0YE33gqaRpISPWwq9MmMECgCgeC4iHf1xp+sUoeimGxsMFUw1ygTbwkSrfIQrffjXVwDgGWAm8jebuKd4WOMLPikxJr1t25jpg333FIspT0N+PYt1cXJoWQPh8IpRJUoKxpWENKaOWW7yvC3luFxFbPBfS7mnQbGnDmN1T3iZNzcAt7bvoDoxgiaWY81ueSSSygsLMRgOP6Gcklp6Zxx/S2f+n6/qiRnZGHYf4BYaiZSehfL1r2Nqqq60JQkYsZWTIouUFypCi/99m6qt2xEAzSDEUnpQInFWPGBxvib/saBxTWo8TihtCqIgrmjmeysL19wshAoAoHguDjo3jE4VcKdut87roFjbCaBNc10Pr+7t0jUnCKsA1Np3buJeEd/gaJpGqGt7cg2I5YBbhFI+wlJdLfNcWId1BOXoCqw+Gf658nfhTN+BZpGja+Wf639DUtql+CL+kCCs9brNTb8p30dPBANK6x+RRcnY88sInWQQnjDIT8/TWPw4MHIsogO+CxJzsxKNBYMhnpEp7cLKRYllpZF3NgBkXI04rz93P14VVCLByM5XcQVBWN3OyOGmti7QWPdm/oLgppbTzgaxGo0YGxvJHXUsQN5TzbEvzKBQHBcHBQooc7qxDZZjZE0owBkEuIk6bQCXKcVYkzT37jVQAy1p6opgBZX6XphD53P7aL939tpf7wSTVG/uBv5khDa3k7749v7BSAfSkKgZNt7N25+Flp3gDUZTvk+SBLIMveu/hUv73sZX9SHhRTibVMpaNOtIB22oj7jjpxZwMTzS9neUyn2IBZZEuLkcyA5Mws5HsOk6f8PrNEw1sYDmOP6z16x6CLR7u6mw5VOLCUTxeYgruhFEuPudGyZnWQU6i8OpvQgXWotAIaqXUiaRumY8V/0bX1qxL80gUBwXET2dwPQ1tqe2KbKJjSzgmOcXpPBOS0P1xn6YidbjcgO3Uh70IqiBmO0/3s7wY2t+m8fo0RkT9dRU5UPRYup+D6sJ9791XYbaZpG95tVhHd3EVjfcsTj4j0uHlNWTwfhaADe+7X+efoPwN6TaaVE2dSqFwOzdl5L+84fMLBhBLXFgzhQfh7tzfpCOONrg5j5zQqmXlKOJEkcOHCgz/Vslq9OivDJRHKm/v8nqaOJ0jQ3xgOVJKWkMuXscwGIG0FDA2sLSDJG4KKLLuLGG28k3aFXAN68aw9zrh/KuHMKCaXvB8ClRJD9HsrHT/5SChTh4hEIBMck3hlG6Y6ADHVBCQ55YQ/UteE+rwzntDxMmfY+5xnTbEQDPuKdIWSbkfbHtxNvCyGZDaRdWUFgfQuhbe1E63xYy93HnId/TROehVUEN7aSecvoPo3tvkrEmgJ6vA8QrfLAqf2zL+LdYWKtugWlU9pHHmmw6iHwNYG7ECZcnzi2sqOSqBpFjTtpaxnAZJeHQdFWNo4fht1fiMMPqbkO9nas5cCBA7y5Sj/PF+ob4Ow4Rs0TwScjOSsbSZKJtTXR1t6MpGmc/q2bSMsvYvG6DSAbcOUrROiGOLidDoYPHw7AmGFDWbRmPR2hCE/N/zcjRoygq7sLi8mIunsTVruDWdfecGJv8BMiLCgCgeCYRA50A2BMlfE4+jZ78zV1IRnlfuJEP15f0OIdYdqfqCTeFsLgMpNxwwisg1IxF+gm6eOtlXLQihNrCiT6zXwVCW3vtVJFqr2JpnAAijeK551qOv5TCSo0WHdx5tpvsenD38CKP+sHzbqb9piPv236Gw3+Bja06GnESrCYy8s0BkX3JsYLOmuJWDpIHaywZcsWfD5f4g+Awd9r3dJErNDngtXhZNJFl+tfNI1Bk0+hbOxEkjOzMPW4eYrGK3h83QBkHtLPqGLkKKyNVUjxGO3t7bz77rsAyM11SKrC9K9fgzM17Qu9n88KYUERCATH5GD8iYKHsC0dVelE8b+KbJ1EoOXIFSkNPQ3oQtvaibcEkUwymTePwpCsF+4yFx4UKN5jVp3VVK2PK8i7qBr7iAxk21fr11h4XzfBQ9w6WkQh1hzAnOtE8UVpe3Qr8bZey8bfMt8B4LmtjzE66ofcMcQGn8ePXrwR9z439w+4n+5kPQAz31eGrVPP/igJQbOaR8jRgK2ig4YeQTJmzBjGjx9P3Y5tvP/EoxjjcUJDxhCLK4yZPOWLexD/Y0y++ApMViuNu3cy85rvAHo5/WS7nfa4xv5dOwn1xGoVlpYlzkvJyaM0P4+q6mpChQN6tmrIHS0UDBnO8Jlzvuhb+cz4av3PFggEnzmapiUESnd7E1BCPPAyqupBCb5FoKP4iOea8/W6C7EGfYG0DExJiBMAU64TZFB9MRRPFKPbcthxAGItQbRwHMksY3BbiLeG8C6txX3O4Ru1fdlQw3G63ziQECeyy4zRbSFa6yNywIMh2ULbY9uIt4WQrRJqOIrftJ3N9t0AxA+KuzN+xR/X3Ufy/mSS4km0V7WzOW8jOYEcJkWNaGiMLCvD+upevBmFRBxNtLTo1iiDwcDUyZPZ9OoLbFn8JgagfMIUpl93E/X19QwdevKXR/+yIkkS48+9EM7tuz07O5v2+iaamppRLbpFMicvr89559/xU+bf/UNqwgFUqwOjtxuTLDH7+u9+qTPkhItHIBAcFeVg/IlBormpXS8epXiI25PQZAPBriMXYrMOSsWYYUt8tw9L77NfNhswZesBntHaowfKRqt7yuwXuXCfo79B+lc2EmsNHu20LwWRKg8tf9moixMJHJNzyLplNLahumk+sKqR9n9vJ94SRE4yY6h4lVtLvsdlZf+CnvVnr8kEg+byluZl9frVuGJ63YzUcCqZvnQmtk5CBko6Ohj4m9/SJWchaybKsgcBYJBlhpcU8uqvf8KWxW8CMPqscznrlu/jdrsZNmzYl3qx+7JSOkj/+cQsVjSTLuAzMjL6HGOx25lw3kVYm2ow+LoxtzUw7pwLScnJ6zfelwkhUASCE4CmamiaduwDTwLCe7sA3RrSGTSjKU1E07IJFQ0inF1IwHfkNFhJlkg6rSfA0yAl+vccirlQX0ijNUdpOqhqBLfo5fQtxclYB6ZgHZwKqoZn4YEjnvdlwPdBPW2PbEXpimBwW8j49ghSzi/HkGTGMTEH2WUm3hEm1uBHdpjIuLqcxzteZY9VQpV607NrzWZ2nHo7v1z+S4Z0DUlsl5GZ1DoJAzL5dXVUrNpB5bDr6UrVO/DOnnsmp02agHX3Jva//gJdTY0409K5+Ce/YubV38FkPrJVS/D5UzFqDGgqSPpybbVYsNv7x3uVT5yCXZaw1+/DKsHYued/0VP9zBECRSD4glGjCi0PbKD1wU1fiiqrgQ2tAJhyZLz2PKLaXqKZeqBsPDkNr99/1PPtIzNxzsgn5YLyw8aLWEp0gRKpPrJACaxvJlrtRTLJ2EdnApA8txQMEuHdXQkRdSQUX5TOF/bQ8POV+Nc0HfXYLxI1qugdiDWwj80i67YxvdVg0VO1U84vB0CyGUm/bhjeqidYYNd74AxNG8rNo27GbXGjonHDstsp7CjEqlpxW62UVlcnxkrp6MLVNYD1435MW9oIJAmGnpKCt3knDR8uRY7HSM0rYPRZ53LVH/9G0YhRX+CTEBwJe5Ir0UwQIL/g8P10TGYLQ2fMAmDUmedgS3J9IfP7PBExKALBF0y02ku8XXeLtD60mfSrhiayWU408a4wnreqcIzPxlLmJry3i1idD2SJWKyBsC2dsD0IOBLntMtHd81IBgn3WSVH3G8p1hfkWKMfNRxHtvb9taRpGt4letEp1xnFicwgU7oNx/hsAqubCG5q1XvQHAZN1Wh/opJYfU+lzo2tOCeeHF11Yw1+UDVkl5nUSwYe9hjb0DQyv6sHFnc1LeWWHQ8TtpgZZs3k2bnPIUkSa5vXsq55HaFAiIEefZwBG3fSbB8M6CLY1T2AtkzdslI2JpMJ55aw5JFfseG1bQDIBiMX/+RektLSDzsPwYkj1WmnNaRbKs8666wjHnfK166meOQYikYcf5+kkxlhQREIvmAiPbEUSKD6Y7Q9srVPWumJQlNUOp7dRWhrO56FVbQ/to2OxysBsA1OpWVXPaoWJ27Xi3VJYb0Gh896+BiUxuo23nzhfcKhyGH3H8SQbMGQagXt8G4e1R9D9UZBAuek7D777CN0X3xoZ+cRq9H6VzQkxAlArMnfJ233RHIwvfpYAtWcn0R11xquXH4H2y1m3Bj46awHkSSJWEsLM/aYQNMY1j0Mg2YgS5JoM51KyDqe1DY7I3fVE3QMQULj4h+N48zrh6GpndTt2Ja4xvBZc4Q4OUmZe+HF5CbZufab3yAt7cgpw0azmZLR45A/Rp+kkxkhUASCL5iDHYGTzy7FOigFLabS8cxOAptaT+i8vItrdWsJegn1g5k7st2Ic0Y+rXV+4nIDmtEEqkLMp/f8CNkVWut7XSyqorLq5W3867F/sbbyfd55btExr20p0a0o4Z5rHsrBcu7GNBuSqe8vXnOxC9lpQgvFE/M9FP+qRjxvVgHgvqAcySSjRVXiX0CHZe97tXS+uOeIwknxRY9boKypfY9vvHsTjQaZQlXm6XPmMzRdz6hpuvsXjHx0NXOr8yny61V807Z6CCQVISFhjI2GYCEA+SU2snpcapXvLwGgaMRoLr/nD8y8+vrDXFlwMlA0YCDXf/+HfdKL/xcQAkUg+ALR4mpiUbJWpJD2zaE4JmSDBr736o5+rqrhX9v0ucSthPd141umX19O6i1nbhuRTu7PJ2MpdNHlMxI16Smw8ZiHFnsjcjgIMix49GU0VaNtfzvP/eBNlq5bjGLU59lcU33M61sHuAEIrG5C8fS1uCT6zWT1DwyUZAnbEP2N0vdBPaHt7QQ2tKCpGt1vHKD71f2ggWN8No6J2ZhydNdUrPHocTOfFi2m4H2nhuD6lsMWlAtua6Pp12sIbdMtZ4cTKA3+Bubvms9re1/lhvduxSfB6JjK03OfoyitQr+OovBeVOWVeReQwSTQwN0ZpCP1DAAkSUWTDTTmTgNg2Bl6nYw9a1awZfFbAIw842zyKoZ8Zd66BV8dRAyKQPAFEq33QVxDdpowptv0QkxnFhNY10y8NUjcE8GYfPisCe/iGnzv1WHKcZB165jPbE5KIEbnf3cnFnJTnoPuV/ReHgd77MQ7OvCYs4hZtgEGvIYOuh0aZdVNhPPLaNUaef6OV+kI2PG6a4mbe101/tjRXTwAthEZmFc0Eq3z0fHsLtwXlGM+KCZ6+s0Ysx2HPdcxMYfAxhYie7uJ7O0GdLF3MM7HNaeYpFPzkSQJU66TaK2PaEMA++fY3DXW0pv67F/eiGNCTp+y/IHVfQN1zfn9Bcrd73yHNf6axPfZwTC/PesJLJm9GTrRqiqqCvV4Gh+ABsmdhQSdZuxZRgYPz2DDEv1aaXkOssosvPW3+9nx4XsA5AysoHT0l69Hi+B/A2FBEQi+QGKNujXAXJCUqCkh202JBSqy58jZKL4P6vUxmgKf2Xw0TaNrwV5UbxRjho3kc0uxDU1HthsxZTuw9PTH8WzZSciWStymzzmcFsPodmD0dWGIRNDkOPVagICzgYitFQkYZNPjQ8Jy7JjzkGSJlIsGIJlkojVeWh/cSMdzu4i1BQ/p2Ht4gWLOc5L2jSFglJDMuhUg3h4Cg0TqFYNwnVaQeNbm3J7CcZ+XBSXUBcv+SOxAbWJTvD1E2yNbEy4oNRTvUxHXUpqMbOlrvfBHfKz1VSe+nx4I8vtRt2Ep7lvJtWnN+j7fMxqDBJ1DkCWFuddWEAqsA8lHSradiec5eebOW9nx4XtIkszEeZdy2d2/xWAU76mCkxPxL1Mg+AI5GPtgTLf12W4ZmEK0zkd4bxeO8dnEu8J0PLED2WXGPjIDS7ELlN7ATjWi9FvUPg6aohJrChBrDhLe0dGzmFcgmw1gNpB9xzgwyIm3/ubNNcSMZpBlpHgMV3kWIa+KRBijtx0lI4+Q8wCKQW//fs6552LZ38LuHW3EDFEURcHwERdCe3s7ZrMZl0uPiTBlO8i8ZTTexTWEtrUT2tJGaFtb4nhTdn8Xz0Fsg1LJuXMCkkkmtK2dwIZWkucUJTKEEmPk9rp4jlVa/xPx7GVQt4ZYkhUYhWw3okYVotVe2h7ZimWAW3/GqoYxy07Gt4cjW3p/DTfVr+a2JTfRiUqRv4QKTynXqK8wOKccaaLe8G3xjhZ+vXAHk8vSyF+0DkqSkOMWUjqGYNBkFGDS+WWsXvAYe9espHTsZM753tk8+aOb8HW04c7K4cybbydv0ODP9t4Fgs8YIVAEgi+Qg/EjxrS+AsU6wI1vaS2Rfd1oil6ULNYcgOaAblX5yDoabwse1i1wvHQ+v5vQ1t7MIdfsooR1AXSrzqG0VnuJmnoKsoW9lORX4G0N0+WsIbmrjWhGXkKcTJ06leLsTF55/B+QlguSTHtLJ1m5vdUvV69ezdtvv40sy0yZMoVZs2bpLphMO2lXDiba6Me7qIbwrk79BKPc75l9FINTj51xjMtOuKY+iinbAbKEGoyjeCIY3Z+yO68Sg4590LoDatdA3RoAYh16YKzrzGJsg1LxvltLYF1LwgUFevrwwTkDBNv3cMs732K3UQINzu4agk2x0TzwdoZc8A2QDby3u5WbntlATNGo7gjyI/RnbownIWtJKEZIS9FwZ3fz7uMrAajdvpFdK9+ju7kJa5KLr//uz1jsh7dGCQQnE0KgCARfIAkLSlrfhdFc4NLftoNxIlWehAvCXJKM6o/2aQ4HEGv95AIltL29jzgx5ThIOuXoJbE7uyGWq7so/HQyOWUANb4a9hZUMmGnGbsSI2AwMXjwYAqdVp758e3EwiEkVzqa2Ur97hqycjNQVZW3336btWvXAqCqKsuXL6eiooL8/N4uyeZcJ+lXDyVS48X/YT3mQlefGI5PysGuy7HmALEGf0KgROt8yHbjMUVQH+rWwVPzINrbiVkDNlgt5Ib1bBpTtgNDsoWUeQNImp6P7/16oo1+ZJuRfWWtDIlnYTPaUD31/PTli9htlpA1DXckDZuiz2Wf38ZMeyor97Vzw1O6OJlVkUl+3S4Uhz5/Y0wXHJKmcur1Y3nrwbsSc4pHIix6+EEAxp51nhAngi8NIgZFIPiC0FSt14KS2legSAYJa082SqiyPdFcz3VaAVm3jyXze6NJvXwQjvE9Qaut/dNkNe3Y5fPVUJyuV3sCYCfnkHrZINKvG4ZkOPKvAjUcplNOIW7R39bbrK2Uu8txW9zszw2ALMH+SqaPG0NGxMcbf/49sXAIi92BHNUDZJuq6ohGo8yfPz8hTsqzRuE26wGe1YdUPD0US5GLtK8PIWm6Ll6CwSCvvfYa9fX1R73Po2HK0y1F0cYAmqbhWVRN698303zfejpf2HPcWVJK5ft0Ba4iLI2D/PEw5pu8NO07fC+jFBX9Z2nKsoPaY+VIs5Fy0QCyvjuKZ0r+zdXLr+OBD34C/lb+8fw5LDaDUYNHpvyKkYFesdbY2MiKXQ1c98R6InGVC3Mk7tn1El9f/Bi+JP3fUXpKBpKkMeGcIuq2v0dnYz32ZDdDTz09MY492c2oM8/5xM9NIPiiEQJFIPgcUcNxmh/YQNtj21C8UYhrIEsYDuNasPU00gtubCXeoS+SplwHkiRhznViH5WJsScO46MN8jRVo+PpnTT/fh1q8MhBqZ63qlB9UYzpNtxnl2IfndnHzXA4vNv24HcZQZKQohHa3H4KXAWkWFKIWFRiwzKQlTibn36MTQtfAWDcuRcy+/pbEgKlo72D+fPns2fPHgwGA6OKp+PZ4iLWrlsJ9uzafxxPU3cNbdy4kfnz5xMKfbxaJjElxrK6ZShZeixMtNZL5/O78b3bk96tQXBDC833rye8r/uY4wX22wkoZ9Ie/jmBkU/DeX9lMV7O6zoVANnQhOfZc/jg/iLib9wOPj3deMfC7/Kver0Gyfy6xbz5zFz+2SP+7h5zG8PyZlOk6VlaB+vJ/eTJpYRiCrMLbFz/zt/ZuW4dzYpCxKbP21c1n4vvLKNiaiqrXnwO0KuKjjxdrzpqcTi46Me/xOrodeMJBCc7wsUjEHyO+Fc16enDrUGCG/QaIsYUC4qmIKsystz7jmAtdyNZDGgRfbEyJJv7iQdTpi5Qwjs66HxxDynzypEMMoF1zYQrOwCIHPAkxM6hhPd3E1irL5IpF+oZM8dD86ZqombdJWQMenGMysYkm3Bb3QC0jUtiYL2Cv7MDs83GnBtvY+DEqbRWH0CO6kKrKdhG+EAEWZY5+7QLWf2M/ixMUT2ItbGxHlVV+zyPw7F/vy5k/H4/S5Ys4dxzzz3q8QeJqTGuX3w961vWc0va9ZzNqN54EFkiZV45pmwH3QsPEK320rVgD1m3jT1qILLX0xOno8l0LdhLpCNAV10zP2q/DID3XS/ypFJDQ2YK0+pe474Hn8MxdB5/bl4Etl5X0o+s+jP6ZuH5lDKe//znCXw+HwHNRJ3ipsLYRrGhi4Licr694UneqKjA7+p17xl9ncT93Sz6519Izc0jFg6RM2AQQ6fPRJJlLvnZb3BnZePKyDyuZyUQnCwIC4pA8DmhRhX8y3tdEd7Fek0LJcXEgw8+yIMPPkhVVVViv2SUcU7JTXw3pPS3sphyHGDUYzGC61sI7+5C8UQS1VIBoodJodViCt0v7QXAMTG7T0O6Y9HR5Cdq1oNVY7FuirP1Yl8pFr33Tafm5YIf/IxRc+Zy5W/+xMCJUwFIzszC6O8GTSOMbkkZUD6Qba93gQY5jSso278CSTUQV2O0th69km4wGKSxsTHxfcOGDUd0DX2UhzY/xPoWPSX37dC7ie2SxUD6NUNxjM/GXJBE+jXDMLgtKF0RvIv6jx3e25WwXnnDevbRRsdOfX7vN/K7/bdiwsgq5xZ+m7WTBpP+DrjcbuOqDBcbd77IKpsNCZiQrDcBTAunMafrdCIrrLz00ku0tbUS0owsig7CkqP31Sk2dHFe8xLeysrsI04AzO16nZOWA3vZufx9kCRmXXsjUo/YKxw2QogTwZcSIVAEgs+JwNpm1EAcydr3LbzV7MXr9dLd3c0TTzzBO++8Qyymu2VcMwsTx1nK3P3GNDjNZH13NAaXblkJ7+mi65V9utXFoAuXg7VWDsW7tJZ4RxjZZSb5KI37DkeXJ4Ri1jN4OkxtlLv1hfWgBaU70k1WaTmzrr2R1Fw9diIQC/DEvmeQlRhGT0diLK05hYAnij3QTHnTQmzJEYxR3e1QU1PD0aiqqkLTNDIyMhg7diwAr732mv7sVAVeuwVWPXTYc5fULEl89mhe7GMyMWXbybxxZJ8mg7LFQMo8/f78KxuJ1PbWK4k1B2j/13ZaHtiAFlexx/SspL9lz+eBnCeJo2DCSEtSFy8Oeh+jbGRI2hD+fNqfSbOmsdti5pqcLAAmZo3jqnH/h6RJTGmZgrM7mXg8TgArm+O5vB4ZilexMq8ih0GDBgFQqaposkyJK52c2DgMcRvWYAqGSF9X14hZc8gqLT/qsxQIvgwIgSIQHAVN1Qisb/nY5eW1uJoorJZ8VkkiMBOgWdaLsTkcejbFqlWreOSRR2hvb0cyyWTdMY6kGfkkTc3tPzB6Zoj7fH0BCm5oIbyzEwwS7vP0Ph3Rhr4WlGiDPzGXlPPL+3ULPpRYLMa6devo6uotGFcn6ePJ4SBtyYFegWJxA9AR6kgE54bjYZ6ofIKzFpzFXzf9Fb8ljLmjGVSwGp107jEiqTGK6p7lgyH5bNH2I3l3AUcOlD3Ivn37ACgrK2P27NkkJSXR2dnJsmXLoHY1bHwS3rkrEetxkPZQO9Xe3rFbQ604Liom67axhy3+Zh2Uin10JmjQ9eJetJjucks0eQT8H1Zj1MxEpRiXjr6Q4bOm8MvyR3ku7S0il6Xw/CUvsumbm3j+nOeZVTiLZ+Y+Q1lyGWpPItK8gZcwLW8aN5TcgFk1Y7Va2eWewAvhYXjdA7GbzfykejeN/22irFtFVhTMkQgz7CmozaOId9gpiE1l0vDivnN3JjHt8m8e9TkKBF8WRAyKQHAU/Csa8CyswphmJfsHx18SPLChBdUbxeAy4xibhX14OtF6P5LVQNPiFwGYNWsWDoeD1157jba2NhYuXMhVV12FKd12RCuHz+fDbrdjKUsGWUKL6fU2kk4twD4qk+5X9qH6osS7w3S/fgCDw6QLFhVsw9OxDT1yJ1SAhQsXsnnzZkpLS8nPz2fbtm10JelixdTdRsfASEKgFCYVYjFY6Ip0saNzB5XtlTy85WFaQ7qrxigb6XDFKWoJ42q0YzINR0KiqPYV9pQlEfHr6bmGoAfIobq65ojF01RVZffu3QAMGDAAq9XK3LlzmT9/PitWrGC4uYisgwdvfhZOuT1x7oaWDUiaxPTmZCavUXhrhIdGfyMlyUe2JCWfU0p4bxfx1iDdC6tIuaA8UXIfwLOoAYAGcyt5aWWcVXIWlw66lLZgG8XJxf3Gy3Pm8eTZT3L3irvxRX3MKpqFLMmMNI5kMYvxGt2sbtZw2838a1oy0Qcf5z3XZWiSgdbXt3FWyxKSRoxma9KFBL0+UnMdXPSDsax+6SkAsssHEg2FmHrZ17EluY76MxYIviwIC4pAcBQCa/S38XhH+JgpvAfRFA3fMt1i4Zyej2SUke0mrANTkHNsNDTqi1tRURGDBg3i6quvBnQXRyRy5L41NTU13H///SxevBjZasRcqMciGDNsuE4rQLYYEhVqu187QLiyg8DaZmINfiSbMWFhORLbtm1j8+bNgO5O+fDDDxOWFHN7E8auVvypMnlOvWaK3WRnSq5eev3yNy7n3tX30hpqJceRwy+n/JKfTvwpPnscADnqR9ZMJHftpGNAjIDfR2peAeXjJmIIB0CFUChIR0dH/4kBtbW1BINBbDYbnbslvO0hKioqqKioQNM01uzoLS3PpqfhkJ/Vhub1jG8bT3p4FntHnsGs/cNo8Dcc9VkYHCZSL9VdK4HVTYQqO/qWx+8ZvtbSRLpND0h2mBzEI+n8dele6jqDHx0Sl9nFn077E4/NeQyLQe+3dNCttbnLhFGWeLTYS/i6b9BaHUAx6jFI3qQiHIEA+8ouo63Wh9VhYu5NIzDbjLTXVgMwdMbpXPPAPxLxPwLBVwEhUASCI6CpWp/Ouqo/hqZq/VJ8P0pwSytKZxjZYdI7FR9CQ0MDiqLgdDpJTU0FICMjg5SUFFRVPaqbY8eOHQAJS0LSaQWYi1ykXl6BZNT/Kx8s3hbe0Xehd88twZB05HTirq4u3njjDQAkSUrUVHHY7SQ3ZWFpayBgUyhML8EgG6B9Hzw0hdlyb7CtLMncOeFO3pj3BvMGzKPQVZgQKJqiu4GMtjW0tTZjdTi54Ic/o2DYSCRNwxDRY3COFIdy8N4zXPmsfa2ahQ9tRVVUJk2aBMD21jh+TPw0PZVrzT5aKl+kPdTOMzufYeOWdRQEChJjtWWX0NC594jP4iDWgSk4ewrYdS3YQ7TxYE+g3uDlOnMLadY0VFXjj+/s4ow/LeP+xXv41hPreWPhmzz11FOHFZ1L1u/kB7/8A3v27AGgRXXyp0I/zj/cA4pC94izEsd6kwqpGXwRNfUysixx1g3DcKXb0DSNth6Bkl5YdMz7EQi+bAgXj0BwBGKN/oQLBfROxP5VTUT2dJF0WgHJc4r7naOpGr739LoazlPy9L4rh9DSoqfXuqxp7FvfyoDxumOirKyM9evXs3///kRQ5Ec5uHh3dXURDoexDUrFNii1zzGu0wsJbW9Hi6mJDBXFG8U2vH/a8UEURWHBggVEIhHy8/MpLS3lgw8+AGDioJFsqtyACrSmhCl368Gp7FsMrZVMd/aOe9mgy7hy8JWJ73nOPFpS9cVZi9WQWXU/dSkykixz7u13kZKdS6C4FABDwINiS2fHjh2MGTOmn5vnoCizhlMJAZ2NASo/bGTYjCJSU1Pp7Ozkl0ljeCtJz2i5aP29+NbfS6G/iBEdI/Rzg1mE7S0EHVbqa9fB8GuO+EwOkjynmMgBT6JwnmSWyeRG2uQriKoT2OTYybWmFG55bhMLt/V2KN7f0s16z0YA7v3nc4RyRif2pSeZaVj9JumSLnRjmsyZso8Bf38QLR5HPfNymrRy6Ek3V4w2DmTNBGD6FQPJ7Qnqrdm6CX9nB0azhcyijxf4LBB8GRAWFIHgI2iKRmhnB91vHOizveOJHYluw7736wjv6995OFTZTrwthGQ14pyU029/Z6eertu+p5I3/vIr6nfpzfDKynT3y8E6H/3GDYVobu4N/jz086EY02xkfncUloEppF4yEEtxMvYRGUdtirds2TLq6+uxWCxcdNFFDBs2DACr1Up6zIaq6NaYrqRYIv6EoL4tOdjJHePuYG7pXG4bc1ufcbPsWfiTNAKWOJoEdSn6r5vTrr6ewmEjAcgo0gWK0dMMmn7/lZWVfcbxer14PB4kScK/X0lsX/PqfiLBOKNH64t/MDqQJMVBcTCJsGpmYuskxraPxaSZSOv04PQOQFbMIEFLQyPHg2SUSb18EJJZn7vJHUXq3kvM9msuGXgHe+3VfOeJShZua8JkkHjg0pH85fJRuKXezBpDZzWt2z5g9ebtvLSxllc+2Ey6pMfftKhOGrutXPnG39BiMbTT57HaeBqxiEJWiRVXem8W0ZCpOQw9JY+qTet5+KarWfCbnwMw4vQzMduO3EhRIPiyIiwoAkEP8Y4QgfUtiQBXACQwFyQRrfUlvlvK3UT2dtP5/B6ybh2dKKamKVqiKqlzSs5hs2UOChQp0o4aa+e1++/n+r//mpKSEiRJoqOjg66uLux2O0uWLMFgMJCZmdnPTdDU1ERxcfFh78OU5SDj2mHHvt94nB07diSsJeeccw4pKfrb+Te/+U3sdjv1CzahKXqRtq6kKGXunjiWYE8Tv0A7Vw296rDjG2QD2c5sGjNCDKjXs5hyBw1h1BlzE8e8Uf8WBqsZwmFsXhehZC+vvvoqmqYxfPhwgERZ+/S0DGJNdtBU7MFWgmSz8rW9jDu9jKVLF5MeSef0xjOQ4zIScTSMGFCZkRqkeWsObZkyxpiLqKGdWOfxv5uZMuykXDiAzhf2YDOu5jWng/fsNvyGII64hU21HlxWIw9/YxyTy3R3z7NvKnDwn5AEZYYOygwdSEYz8bguspz5A3m1IZWHl9+DFImgzTibNfazCHtjZBYlYTYupWbvckzOeRhMJUy5eAC+jnbe/Nv9hA8GGBuNjDt33nHfi0DwZUIIFIEAPeum64U9ie+yw4h9TBaO8dnEW4N0PK0X47INTyfl4oG0/m0T8dYQXS/uJe2qIXpK6gu7iTUFkMwGnFMP33zvYNDpwRLwIe92Xn3gMS668zsUFBRQW1vL/v37UVWVdevW9Tv/YHzI4Swo3d3deL1eCgsL++07FE3TWLp0KStXrkRVdRfWhAkTEoIAoLRUt2xUtvjQVF2MdCXFGODWi7QR6rEeBdr0gNQjWGjykvJoTN+WECiTLrwscQ+PVz7Onzb8ibOt6WSGHVi6YmQMLaa2vpoFCxZQX1/P7NmzaWjQA1qT7Wl0xZuJ+V4gs0shWHobO5Y1UljeBqYGiBUgx3XhoWEkKyuLefPmYVy+mso0PSjVFEsiam3HGE5HC3QgOY6e1XQQ+6hMbMUatX+fx0/ye+OKArE08tw2nrh2POWZevyPLEuMTpcIN8L2eBaFpQM5PTtCZWUlgUAAA5CTm8uVl5/HdxqbqH+um3ByDltT5hHsjpKW52TOtwfy71t/DUCSu4mzbr4Yk0XilT/cR9jvI6O4lMyiEvKHDCcp9cjuO4Hgy4wQKAIBEOopE28uTMJ5Sj62wamJwFPJ0Lv4Jp1WiGw2kHp5Ba0PbSa8q5PAykYkm5Hg5jaQJVIvH4TBoZdBV1WVpUuX4nA4mDRpEp2dPQIlFiG9cCjttZVUb3qdzYsqKCsrSwgUq1UPxMzLy8NsNtPa2kokEmHcuHGsXr2ahoaGPim5wWCQRx99lEAgwHe/+13S04+8aL3//vssX7488X38+PGceeaZAPi7wqx+5QAVU3JIy3NQ3RpCT1mRkZKsZDt6FudQjwVFjetixd43FuYg+c58NmasRUp1UFI8hOKRY/BEPNy7+l7eqX4HgNaUGJndgNLJKUMvo7ZkPx9++CFr1qyhsbExUcTO6JFRotvQiFGXClltK+nOmMJ/n9vN9pJahnXogbCXXHIJkiQxcOBAjEYj69dUoRpGYjdGUCMWAklgVdNor11OxuDzIeJDeeenyI50pMk3H/FepJaN/Cu5by8bNZbM1ycVJcTJQVINIRqBbs3O/00fydTydM4880xqa/Vso6KiIiRJoruykrDFzaaRtxLqjpKSbee8W0dRs20VSrwnA0pqIrs0mdUvPU/9ju2YLFbOve1HpOQcvQO1QPBlRwgUgQCI92TmuGYX9aksCnpcR/LZJUgWA+YcvbCXOdeJ+6wSul8/QPdbVRh7ytK7ZhZgG9L7Vl5ZWcmKFSsASEtLQ1UV0FSkWJQJtVWszJ1Ad+Na3n38L8z+/l0AHDhwgORkPTtm6tSpDBkyBNDFTjAYZO3atbS3t7No0SLmzJkDwKJFiwgE9CyT2traIwqUHTt26IXNgLPOOovRo0djNusuKlVReefRSpoPeGit8WJ1mAhE9ODQiDlCWUpZbyzLQRcPQKD9iIt6njOPmEmj9Wsl3H7K3SxvWM7PV/yctlAbBsnAtcOu5cPWBVAFqtJJ195WZn1zFnl5ebz88svU1dUlxgo2Kqhx3d2jaRA1bwZlHMnBcqIRN7uSd3L53jy6b/kNZadW0NLdRWjvfg5YZkA67I14KJNlOjQJg2yhct9qTi2bTfjJS7A2rNIvsuU5uHEl2Nz97qW9cT2vO3sLu2WEMpjaMRi5fhOaVpp4Npqm0d2hu8Xmjh/ElDL934Msy/3ccqGtW9g29HpCchKuDBvn3zYau8vMvjUre69bV8OBjetY+cIzAMy67kYhTgT/E5yQINl//OMfjBgxApfLhcvlYvLkybz11lsnYioCAVpcJd6pBzUebMb3UZKm5+Oc2Dfo1TElF+ugFIhrxNtCIIFjfK/5X1EU3n23t+/LK6+8CoAUjWKLW2HLNuaMGYrBXIimRln37PPYbDYikUiiL01OTu81ZVnG6XRyzjnnAHoF2rq6Ovbv35+oXwJ6fMrhaG9v55VXXgFg8uTJTJw4MSFOANa9WU3j3hqi/ldpr6ukcV87alRPx63NCJHvzO8dLHRIgHDgyD10hqXrsTAf1H/Afevu48YlN9IWaqMkuYRnzn6G7435HkMHTgBAUzvpqNPHraio4PrrrycrS89yslgsBLttiXgY2WCkUw3j7tKtMDP2TsPetpvWyKlsHngda9eEWLvPzdLM62hLHwXAFmuUbu8SjFH9nnfX16E9fyXBhh08o53Hi9qZNHsj+La8dth72dOymbgkYZH0zKz8QD4GJJr2beftt99O1Mnx+/0Eg7rgvfns/hlJANHaWuq+cwMtC97C5ypCQuP820bhcFvYv2EN+9avBsBk1evavPz7e9BUlYqpMxgyfeYRn7dA8FXihAiU/Px8fve737FhwwbWr1/PzJkzOf/88/tF7wsEnxeaouJf20SsPUS8IwSq3jhOdh25VshHkSQJ97wBSD0db60DUzAkWxL7N23aRFdXF5KqGypDIX3RkmMRksK6+T78+ENMvvBaALoadjOgrLeYmtVqxe1297vumDFjEpk2W7Zs4fXXXwdI1FU5XHxKNBrlv//9L9FolMLCQk4//fQ++xv3drN+4T5igTdQY/uJBz8g6n8ZJa6Xl6/LCpNqPcRK0seC0nbEZzQhewI5jhx8UR9P7HgCgCsHX8l/z/kvQ9OHApBf2BPXokXoau1OnJuWlsZ1113HqaeeyvSJs1EV/ToGhzkRGOpNakbTYlgZwpmV04iZdBdMXcHpNOZOI25yoplgmSXMzNb/gtqI3COoWrpUNuxv4x/aN9grlbFdGsw/+Qb3v32A+fPn9yn3D9DkqdbvKVmfb2qk93msWbOGJUuWoGlawn2WlZXVRwAeStezz+FftgyPq1gfK8uKK83GrpUf8PoDv0VVFAafchqDp85InJOcmcXp37rpqBlZAsFXiRMiUM4991zOPvtsBgwYwMCBA/n1r3+N0+lk9erVJ2I6gv9BPG9V0/3SPtr/tY1one7GMGba+/3y9/v9PP3000cUz0a3hZQLB2BMt5E0qzc4NRaL8f777wNg9xdhCSYKsSPHorhDfgxpacQaGykL7kU2ZQIaRk9vz5+UlJR+8wn5oqiKmnD7rF+/nu7ublwuFxdddBGgC5SDwa+guxwWLlxIa2srDoeDiy++GIOhtz5LOBBj8b8riQVXoCn64q2pHWjxemRNIzI9j9rsUK9AiUcgdkhDwkD7EZ+zQTZwfvn5ie9fH/x17pxwJ1Zjb7GzwpRiVFm3PngCvj7nm81mTj31VIztloR7J23wICbNuwxnWjrBoA+jdzFIBtpyLtSvaZRISrUyZFouo745kL+6IoSjW3rn5NfFlRIdwBucTkwy4bOYaLW2EpWjgMauXbt4/PHHe0VKPEpjuAOzYsZmKODC3NtxRXU33CmnnALAihUreOGFF1izZg0As2fPPuJzCW3dCoC3R6Bklqey5uX/svAvf0CJxxk4aRpn3ngbI884m/SCIkbOPosr7r0Pi71/7yCB4KvKCY9BURSFF154gUAgwOTJk494XCQS6ZNq6fV6j3isQHA0wrs78S/XM0OUrghdL+rZO6YMW79jFy5cyL59+9i3bx9Dhw497Hj2kRnYR2b02bZ27Vr8fj+yYiGppZb0jt3sGTWOqLUTQ9BHTkkB6aedTsuvfkXXw/8k+9SLaNy9iKaNmyFDtwIkJfUNvGw+4GHBHzcwclYBE84rx2g0Eu8JpDznnHPIycnBZDIRi8Xo6OigoaEBp9NJd3c3W7ZsQZIkLr74Ylyu3l4tmqbx/jO78LTuRolsAMAajRM2678aCtOzebfCCPX0CpRDrScA/iO7eADmlc/jiconyLBlcMvoW/rtL0gqYJUljDNkIxr3EvJHsTn7Wh72ba5Cjes/s5HjT8NktXLqN67jjT//npC6C6MyFdmgC4av3TMJV5qNUFTh3L8tJxJXmBzanhjLEPKBplvAVDR2uuvY5V4HPVrwW+1g4Gu0e708/fTTfOc738HctZcmnJxZdyaeepnlIRtnWSQUg4WZM2dit9t55513EhVvR40aRXn54TsKa/E4/j0HqC84nbbi6WiKQtuBV9m0Q7e8jJ17PtO/fi2ybCDz/9k77/Ao6vyPv2Z7eu89oZeE3kE6AhaKYqWIqCjqef7s53kettPz7GJFECs2FFCa9N4DoSchvddN2b47vz8m2RBTCJAQ0Hk9zz6Z8p2Z7yzLzns/NTqW2a+/3+z7KyPzZ6XdBEpSUhKDBw/GZDLh7u7OihUrnL8KG+OVV17h3//+92WcocyfEXulhdKadGJNjBeWtLoOteqghvEntR10QRLT51oemsJkMrF923YAXMrdqLatp9oLXPOtqG1JCFYzwWOuw3vGzZQsXowtL4/OHipygariZKbf8xJ7D+xp8Av8zL4UzPpvOLF1AMNuuodOnTpx4sQJevbsSadOnQDJrZCdnc0PP/zgrFqrUEiG0jFjxhATI1UcPZtYxIHf0onrE0DKgQys1WsBiKowEj56LDsPSIG9vW+fzY/6DwHw0dUEDxv/IFCacfEAhLqH8uvUX9GpdLiqG77HER4RlHpacDe6IDpKKM834NKhTqBIQacg2qX7ieomFXnrNGAIEWHeZOWU4yt8h1unxwjp4IOnnyQ0X/j1BCmFVfQUCtEY9WhcXLAYjQgOC64V3qQHnuaI/1EqNBUoBSWiqMSBhS2eFj53TeYTQxAlJSWseW0uN6q2UaHpjr+oxl+EPmrJmuOqcweHg8GDByMIAkeOHCE+IoL+Y8eS/8KLmE+fxnfuXbiPGuW0hplTUsjyHcjZ2BvAAdbqX8k+cRpBUDDqrnvpPeG6Zt9PGZm/Cu1WSbZz584kJiayd+9e7r//fmbPnu389dEYTz/9NHq93vk6N7pfRqYliA6R0u/P4Kiyog52JWBuDzxG1fVoUQXUf3gWFxc7U1wBjv6wiW3//p7KovpuiD+ya9cuTGYTSpsL6oK6dF67cTMKqxmFqMR/6HAUGg3+988HwO3nr1Go3AA7JccLmTdvHgEB9a0y6Yk7EO15VJXswlBh4dprr+Xaa691Bs2CFFwKdSX1Qcr+6dy5M0OH1jWS2/VjCkWZlexekSqJE9GAu9HC6AWPEn/fA+i0OgKCQogZMoxSkyRImrSgnEegAAS4BuCh8Wh0n7vGHX1wTVq2vZjSzPqxHwa9BbutFHCg0arx3P9f+GQMwquRjNZuREAkX19JUUgBuWIKh9asZE1SDl/vzUSJnSkaqTpv12GjnNkvugov0tX70LmF8ezAZ9k0YxMPxn0OokCKRkNp2i9Ms68ERA7bOnDcFIjDFuicU5BCcgt23rWJzLvn4TCZGDRoELeGhOD96P+Re/8DlH31FYYDB8h+YAFF77zjPNZ45CjlNRV5RYcJh1Uq43/j4/+QxYmMzDm0mwVFo9E4TaB9+/Zl//79vP3223z00UeNjtdqtWi12kb3yci0hKodOVKpepUC39u6IKgVeI6PQtAosGRVoevoDUgP9NTUVGd6cC1bdqVj1trZ8s57jB42mmETBja4htFoZPcuKWXVpcSOXTDg4u5BcHQcaccSAfCwWNHVCAnvqVMp+eRTrFlZ+HRPoERfTfKew/QaO4hV7ybSsX8QA2+QUlj1eWkAiPZick4X0rF/uLNZXi1DhgzB09OTQ4cOkZCQgF6vp7i4mMmTJ9eLZ6kqr8JhK0AUTThs6SgcIiO6JOB7nVTl9Z6PliEolQgKRUOBcoEWlJagjAqEI1WItiKKk/NhdF1vmfzsMmf8SViAK8L+T5z7/F019I6wcyhLRcpv31FqLeOsaGdv8Ei6W0VGmY5QXl0OQM/R46ksLaYsLwfRUc7o0vk8+Le56NSSVWxEBzVvHYlB4X6WXS46bq/MZniEku1ZDr7lejxNdeXrATwFgZizaRjMZrIffpjw996j/KcV0luycydmjRc2lQ43QwElH3yIQueC/333YjicSKW79NnR6Mow68HDP4C4vg0/TzIyf2XaPQalFofD0WyreRmZS8FebUW/Lh0A7+tjUQdJwYaCIOA5SgpuLSsr4/DhwyQmJtaLcRLsICpB75Pj3LZx1zpiukUQFhFa7zp79+7FarOitLqgKNmJKMCw2+cQ1rkbaf93PwBqVy1CjatIUKvxX/AAeU89TWD6GUp8tFSVnmXnjycpyfyNsrw4RBH6TYzGaqkNRhU5u/8IHfuH80cUCgXx8fHEx8c3+V6Yqq2Y9Nuxmw85t8VaofPzdS7U2t4uRpsRo016MDtdPLUWFBcfKd24OYHSTJXZcwkIjwLxOAgWCjOygLp4tIzTaYg18Scx3iawA/3mwsD54BtLP72eQw/cRaClLlh3YP4W57K7rx/Db59DUGwHfIKltG3RXs5YnxCnOAHoGOiOwhYDnCVZowaFGnWfmyjJ/A0/oQqlQ4eIyOzZszEZTXh+9RWVNd9Z1du2k/3ggxhqqv+KCBzs83+YXfwYHFOA7rOFFL35JqLZTOGWfVh7jUWhgF5jXdj+FQTF1GVvycjISLSLi+fpp59m27ZtpKenk5SUxNNPP82WLVu44447zn+wjMxFYE4pA7uIKtAVtwHBDfYfOXKEt99+m23btlFRUYGLiwsDBw4kmiA0RZnOcQq7Ao3JDVFw8MXnX1BVJZn6RVHkwIED7NolFdjSluoRBQeB0bH0GDUWv/AIAl0lF0enrvXFg9f116OJjcWvpvaJw5ZLyv7N2M2JWKt+Yt/PP7N+8WFER7nzmJwTx7hYSnKqsFtO1ds29NEnULg2jA8pM0nuFrVCjXtNCq/TghJcUxq/PLNhJo/VCKv+Bq/FQPbB884p0ivKqWOKCgspyqpzoxWmFOCwSanTEUh1Weh5MwR0BqUaD19/NNF18WtWQfrdpXX3ZOSsedz99id0Gz4KAO9gycUjOsrQ59d31SkUAp18pBTiZI2Gs4FjmfNdGpstsdgF6auy2qWa2JhYunXrhq24hBKfLrhOvhFBo6F623aw21F6eVHtFoxJ54cowp70YCyzngKgeNEiyjXS588/woOSTMkqFhgtCxQZmT/SLgKlsLCQWbNm0blzZ8aMGcP+/ftZt25ds2l5MjKXgulMOQC6zg1TdwFnGnFYWBjTp0/n0UcfZeLEiVRnpqIw15n2XfVlBGYfQ2HVYLIZ+fqrb7DZbBw7dozVq1djsVhQWXQoSqQ00lFz7kWhkH6l3/z6+4wbdz0Dnnim3rUFpZKAhx7Ew2RBISoAK3bT0Zq9IjbjZs7sXFLvmIryPMxGW71tJ3flsuO7ZBwOsdn3oiCtGESDcz0+PBb/Edc0OrZWoPjofBpWkQ1JgJBeUrn7o8vPOSgdFo+Hg0slC0vyusYnYrdJFhYgzjsOs0ZKXbZYS/jhlQPs+SUVm9VORV4pYAURfG0ZICil656DOaYfAA5BSe+/vcDkvz3Jve8vpu/kKajOqUXifY4FpaK87v2zGoxYS0u5p5/kZjmmduOGjBtAm03P+ByMXSqxCTaswXUxSVmVfhxJeIid6vH4//dNUEnCyGvmTBQPvQBIosfhENmVG4n19keAutTioBgvCtOljtmBsgVFRqYB7eLiWbx4cXtcVuYviiiKmJKlB62uk0+jY2ort44dO9aZ6WIx2TAZslEKRnDYQaGEorPoHXbcM1OojIkhNy+H1atXO+tleFmDEDOPIgrQefBwwrvWdRXW+fkSP+++Rq/vMWECHiNH4p2dRakbzgZ9YS6e5BgrcNgyAFCIShyCHbstn6Obs+g/SZpr1olSNi2TrCLRCf6Ed278PgGyjkrWF5VDzQOLP0d9TtrxHykxST2K/HTnNNWrrSLr4gt9ZsKviXDoCxj0ACRvgJ/uAVP5OSepy4RykncEvrwJNK7Qdw59dR787m4kuNQNtTUdh2M4B9dkcPZwEeZKSSBqFAoUAhDUTTruHPJ9OpDj1ZvBfbsxYXDPhterwSdYcsmJDj2VJiX6tes5vuooSeYuqC1VdCrdjNsNCqq1NoQur+AGHLPAMYAouL3L7c5z6a3SHMrKYfNhT8a88z7pvx3gxxNdER2S66fPxCjKcqtJPVzE7qLODL33n5Sc9cVuzGL/ijec5wqMiW1yzjIyf1XaLYtHRuZyYSs04KiwgEqBNrrhw9hsNlNeXg7gLK0OkHEsDcQqBIcd17STuKUcRXDY0bi4IloKcStUgwiJiYlkZGQgCAJCsQ7RmoVCEBhxx10tnqOgUBD29luEq+v/l+y6/whDAiIQFNJviWC9DYUogFjFwdU7sFrsGCstbPgsCVF0IIo28g6nN3utogzJTeLhUDcrTqC+BcVJreDwCoceN4FKB0Un4cvp8PUMSZyE9YVJr9cfX0vhSVg2RSqRX5YOvz+P/+r/wxQqZfKYbYVEuG/FxUNNWb4Bh01KBXfV1lg8wvo2mGd+hYXdvoMI6ze82fvx8PdHoVQBdipVWtZ9ksRhex9sKleMroEcCbuZidl17iIPtQcDgwdyZ9c7WTh0IX/r8zdEhwPRasXoqAvaL0yvYMshN057DkWsqZFnMx0g//QvjJ7dmaieftisDrYmB2O0aRDEusJ/bt4+uPu0rKuyjMxfCVmgyPzpMZ6UrBHaWC8EdcM6JrXWE3d3d3Q6FypLTWQcy2P/yrr+UEqLCYXVwrBbZ3HNnVJpekXpLtzK65q2ear9EaukeIsu/QbhGRDIhaDQaontP8C5rnZo0dgdeP++hWssCqKKyumlVRLlJWXTGCuTSDlQyMbPT2CoNGOp/A6z/iNyT6Q3eY30pGIqy6WA0yDd+bPiagWKM4PH4YCCmodrcLzUVG/Mv6T11I2ACP3uhrvWQOxIaXtJqtOVQ3EKfH6DFMcS2hvGveC8lm+UAqVYiSgIJGcdxLXwAzr28cRR03/HS1NTsyaifuYSQH6FVIE32EvXYN+5KBRKPAMkEWpWOSgK6I2ASN/B7gRqy0FQEJ5XZ4H538j/8emET3lywJNM6TAF0/c/kzxsOKcHDsKslsRd77HhaFxU5KXoKc2V3FSiaMFm3EbK/o3sX/k9197bg/AuPiBKFj3RLsU1RXTrybUP/F0uXy8j0whXTBaPjExbYTwmPeBcutf9Sk09kc0vP62iS5fOBMVIFUhtepF3576M3ZqJaMsDpJ/CHhYPKjVSQGX3kWNx8/Lm5I4tZJ88hrroEG6KIYiB+YiZAqItHUQYXCNiLpSgocPRHtiLWS3iU20g4O9/p+itt3A9fpLugMf4vvQaO5q0rz7BYTnD9m+TsFpU2A3bEO25ABTkN14jSLK07MFhrXk4hp5fQNWmGDstKGVpYKkCpRb8aiqlDn5AikM5uASueRISbpW2e0dJ8SKWKqgqAJsJlt0gWU6CesKdP0ldkMP6wtJJ9NUX8I+JKm7bI6ArcyPHVIF+/b9QiiIOlYJAdRGoXaHL5AbzzNe3TKAA+IaGUp4vpRr7hHRl3F3dCYj0wFtjYONWBzaxJwr7dyhUAoNC6sSQOTmZgoV1gsqs9UZ0VBOdEEBsnyBWvp2I1Wyn69AQck8fo6BcGrf/l++J7d2PSffHs37xcSqKMsg9UYXGxYXp/3gBpUr+GpaRaQzZgiLzp8ZWbsKaXQUCuHSTBMrZIwV8+/VyKmwF7Du2zdlsz16eis24uyal1YFK7Ymn1Y/eOdlc+8DfufGxZ3H38UVQKBh370Mo1Wrs9iy05Xrc0ntCuVSUrWt0B2cw5oXi0rs3EaWSKIi0WfC79x5CXnzRuV8THU30ddfj5hAAG6bKZOzWNGyWROcYg7kMq9le77yiKLJp2XEqC1YCVnyqTYR2abx0/7kUGKSCb04LSn6S9DeoGyjPebAOfRgePlwnTgBUGvCJkpaLk+HbO6AiB/w7w8wVkjgBSaAoNQwsL0StUvPNkBKOdMhHbbNRpRSwqqSvqU4eeug+FXT13VKVJitVZsn9E+x5foHiEyLFoYTEwoxn+hMQKWVXdbh+AFpzOTaVGw+J97Bq6qp6lg1LVjY5IUMo8k9ARMCgKMGs/4jdP7xHQKQbUx7tTb9J0Qyf0YlO/euOs9tsfLfwGdKP7mPyA/HExksxNRHdE2RxIiPTDPL/Dpk/NcZjUpCnJsoTpYeGY1uz+W31OqxulSAKINRlvCjNRnzDOtFn4niieiagOH6SnAUL0HbpQuw1Y+qd1zc0jMHTb2PHt8uwGrfgcJQhOirQ2mDk35+46PkqPT3p4RNI2MkUQsZNkDomT5ea4JV99RWekyehUCjo0COBIycSsVmSEKyFIIC7hxdVlXpEWyElOVUEx3o5z3tyZx4p+9Yg2nNRigIJGQVoY2KamgYAJpuJ7dlSyf6e/jVuj1qBEtx0IGo9/DpA6Vk4/CUUHAO1G8z6BdzPqZKr1kFYX4Iyd7Oiwxy2evqwN3wv60IOMHGzO2a1C2qbjSCdCXrPbHCJghr3jodWhZv2/F9ptanGam0lKrWS/NRkNi/9mIqiAuxmBaLmVjoVRRLuUb/OTHFaKac7S6UQ3KpysNul2Jr0xL2sef8NJj30fwRGeVJRVEheslQddtD02yhIPUNa4kFW/u9lht82m6RNUlZTdEKflr2HMjJ/UWQLisyfGtNpyRrh0t2PPT+nsuHHvRhcJReIe5ECt7IgXHSuIIooDZV0cmgJ3L4b46IPKa3JNtPGNp5h0e/6afiFRYBowm6SOtj2CAjGNSS00fEtxWvSJNwsNjwnTXRu854+jZiffkTXuTMAPW+XHtSiLRuHYME/PJIJc+4FwGEvJOdUXV2S8kIDW77ehs0kdQvvkZWPqwi67k33vgLYkLGBSmslYe5h9A/uL20sqKm/Etx0Ibh61LqBjn4r/e0xFTwbsS5FDZH+7HyfWSUFvN/5Ln6ev4Wh7/yH4GAl8YGpCP4dILJ+/ElqURVP/CClZLfEvQN1qcZludns/uEbvvnnY+SeOUlVWSlGezE2404qiowNjqvIr3IuV7uHITrq+jid3rWN9R++y4HVK/jkwbmk7JeqCUf1SGDKE8+RMG4iiCLbv16KvrAAD/8Aug0f2aL5ysj8VZEFisyfFtFqx5wmVYQ1++jYvy6FSq/TIIBHYR5CyV6URQcY02sabslHUVgt6Datofy77yj/7juMh6RKq7puXRs9v1KlYugtdb/oFUD/f7/U6Ni3Dr7FzN9mUm2tPu+8/e6+m467duIxZkyTYwI7dMLDw8s5j+v+/hSh/QeCCIhGEjecxG5z4LA7WP9pIqayXwEHwfpqQsuqCHriCdTnZCz9EVEU+eHMDwDc2OFGFDWFyupcPD2aOPIPBHSpv957VuPj+s0F70gpVmXTi/DpGNSvd6L3tv9xR4ccRgYVQu8761WltTtE5n9xkEOZ5dKUWuDegbpU47K8XHZ9/xUOu51Og4cz4f5HpPOaD1OqL2lwXFW5qd666JA+Wz1GjUNQKDi+9Xe2flG/hEJgbBwKpZIxdz9QL6tr3LwFzmq9MjIyjSO7eGT+tJjTKsDmQOmpIT2jkkqvMziUFrTVVYileQhIHXKT9yShsFsBJUFjx6DtUFc0S+nujte06U1eo0P/QfiGhFGal0PHgUNwa+ShX1BdwOJj0oNre852ro2+ttl5CwoFKl/f5scIAr2un8qOb5YxZt4D+IVL5fo9UFCJg6rysxxcm4652kbuqV8RHWVo7dAjqxCvSRPxmXlns+f/Ne1XDhUeQq1QM7XDVGljdYkUQwIQdP74FQDib4HiM7D/UynWJGJA4+O8wuHBA3DkW0heD+nbwaSHMzWZVIISEm6rd8jPh3NILqyzagyMaf49q8XD3x+lSoXdZkPr5saYuffTZeg1CIJA0qpfyc1OpsJS0OC46kobIiIKQSplX2tB6TvpRiJ7JPDbe/8DUSQgKgZ9YT5hXbqj0UmdlQVBoP8N0wnt3A2L0UBMr4ap0jIyMvWRBYrMFY9odWBO16MOcUPprjn/ATWYzkgpstpOPhzfexqLrgQcIsqCDATRgcIh4FCI5KdKTQFVoit+d8/FpXsLH75IYmLCA39n3y/fM/T2OY2O+SX1F+dyTmVOo2Muhv43TKfX+En1fokHeflQWVGCzbCe7V+sR1D4Oou+JaTn4h4VTcgLLzSb1ppZkcmr+14FYH7CfILdaloDFNRYT3xiGgSqNolaBxNeklKRBaH5vjwqLfSdLb0cdqmYW9o2yNwDMSPAo65FgcXm4M3fzwDw1MQu3D4wEo8WxJ+AlGo89NZZFGekMey22Xj4+Tv3RSUkkJudjNVRhqXKhMa9zipTZbRjsS7F3cMPC2NAlIqxeQYG4R8ZjVKlInnfbkbccRc6N/d6FWxrCevcuDVO5vLjcDiwWCztPY0/JWq1GqWyYUmHC0UWKDJXPJVbs6j4PRMUoO3gg2tCAC7d/VDomv/4mlPLARCD3SjcVQSeoDJUojQbGXDjTeQsX02OzoSjpi+Nzq5EExV93vmIoljvAR/aqQtTHv9no2NzqnL4Kfkn5/pZ/dkmz3OhCILQwE0w7JaZmP6zkGxfTxDqKtJGF5UT4BAIf+dtFG5uTZ4zvzqfeevnUW4up6tvV+7qcU6xuQsNkD0XVcuFJSBV7Q3rI70a4Zt9mWSXGQn00DJ7cDQumgv7Mux//bRGt4f36Q2//oDDXkTJiQxCBnR27quwVSM6yqjUl4GQB4BS7ea0knQaNIxOg4Zd0Dxk2geLxUJaWhoOh6O9p/Knxdvbm+Dg4Ev6jpMFiswVhyiKmM+UoQ5xR+mpwZxWE4zoAPOZMsxnytD/pibwgQRUfi6Nn8Nqx1ogxXukZFdh0UgxBcpqPbF9BzDs1lns/nUjOba6uAI3FCjdm354Ayw/tZxX97/KK8NfYUL0hCbHFRoK+fjox/yY/CM2R13Pl7PlZ/n8+Od8duwzoj2jWTxhMSpFy/4bOkQHW7K20DeoL15ar0bH+I4aRZ+XXqZ70lm8n/snyRkplK5fR+e8UkL++1+0HTo0eX6D1cDDmx4mrzqPaM9oFo1dhFqhrhuQXxsgexECpRUxWGy8u0nKoHloTMcLFifN4eyJ46gg/1iqU6CIVism4ZzUbVH6bHn6X1gxPpn2RxRF8vLyUCqVREREoFDIoZitiSiKGAwGZwHMkJCLK7kAskCRuQIxHCqk7PszaGO9CLg3Hmu+1NjO97bO2IpNVO/Px15upmJTFr43d2r0HNZ8g1RnTWnn0KZUrMGSyHFXwOSHHkNQKIiMjuLgKT0WlfQryselcbHjnJfVwLuJ72J1WHlhzwv0C+qHn0vDEuU/Jf/Ey3tfxmyXXACDQgYxtcNUntz+JMdKjnGsRHrQl5pKWZW6iqkdp7bofdmcuZlHtjyCv4s/629aX1881CAolXhPnULxog+ofPElgu12ggGfO+7A67qGBc5qcYgOnt35LCdLT+Kr8+WjcR/h7+Jff9ClWFBakSU70ymuMhPh68It/SJa9dw6N3dUCjdsjmq27yykKv0rhjwzHXtZGRaFtcH4gKiwRs4icyVjs9kwGAyEhobi2kgHb5lLx6Xmu7SwsJDAwMCLdvfI0lHmikJ0iFRultKAzWf1WHKrcFRbQQBdVz88x0Tie7uUGWI4XICt1NToeSy5UvBkZVkxJp0RFCKC1UL3/gOdbhGX2FgGJ6ehsgsgQmxo83EV35/5Hr1ZEjp6s57/7PtPgzFWh5XX9r+G2W6mV0AvPpvwGZ+M/4RxUeNQCg3/k35w5AMs9pb5wQ8WSmX0i43FLDu+rMlxvnfdhduI4WC3g0KB9803E/Rk87VZPjryERsyNqBSqHhz5JuEuv8hVdpqgmKptkd7ChS9wcpHW1MBeHRcJzSq1v8Kc68RnaI9n6OFIWyY+wZlm3bgqLGadB460jlWKz/grjrsdskSpmkkRkim9agVf1ZrQ2HfUmSBInNFYUwqxlZcV4OicqNUll3lq0NRY8rXRnqi7eANDqjaldvoeSw5kkApUHlh1hZJ56jW02ngEOcYTUw0bhYbI0+eZdiZLALPE8D43envALity20oBSVr09eyJWtLvTFJRUlUW6vx1nqz9NqlzvohaqUau1jnIlg7fS2BroHkVefx/Znv6+ZttzSZilxQXZdZ8tHRj6iyVDU6TunhQeTHHxPz04/ErV1DyAsLEf7wZSyKIkUG6X1Zl76ORUcWAfDcoOfoE9RI3EfRKamcvYsPeLaf1WDxjrNUmGx0DvLghoS2mUdEd8mtYzPuxGrYTorHQHZ8n+zM2ul8zmeoNntK5upD7n/UtrTG+ysLFJkriqqdUpaL0ltqZGc8LsWOqILrx4a4D5V+4RsOFyDaGga6WbOkh0mpqMTqIj2I3exWQs8RIZroaOmv3YGnyYImJrrJeeVX55NZmYlCUPBw74eZ1U2q5/HCnhfqCYWduVJG0OCQwSgV9S0m3lpvAFxULoS5hzE/YT4AHx/9GIPVgCiK3LfhPkZ/N7qeGKkloyLDuWy0GVmbvrbe/oMFB/k55Wfnuq5bNzSRjT9APzz6IaO/H82MVTN4avtTAMzsNrNpd9O57p12+mKvMFlZuisdgL+N7YhS0TbzGLXgPuL6DQJE7Ob92M2HyQ8e5Kx74hkYxJw3PmDwTbeTML5pt5mMjMylIQsUmSsGS04VlsxKUAr43la/wJc6qL4pXdfJF4WHBke1zdmtuBZrsRFroWSFKRQqsCvsYLfTvVcvFOeIBk10NO6jR6P080OXEI/rgCZqdACHCqSibV18u+Cucef+XvcT4RFBoaGQtw695Ry3O1eqIDo4dHCDc/xn+H/o5teNZRMl98yUDlOI9Iik1FTKlye/ZHvOdg4UHMBgM7Anb0+9Yx2ig8xKyZo0vaNUl2VFygrn/i9PfMlda+/inzv/yenS003eRy378/cDcLL0JDaHjQnRE3i076NNH1BbQTao/dw7H21NpcJkIy7AjWu7B5//gItErdMx5fFnnV2rbaat2C3JIEqxUF6BQfiFRTDk5ttRqRvGAcnIyLQOskCRuWKo3iulbrr08Ecb5YnHyLoASPUfLCiCUsCtb2C940RRpGpPLoVvHwI7VNkd6DX5AKiqyokfXT/rRlAoiFj0Pp127iBm+XKU7u5Nzu1QoSRQ+gRK7g8XlQv/GvwvAJafXs5Z/VlKjCUcK5Ye5ENChzQ4x9CwoSy/bjldfCXxpVaoWdBrAQDvHX7PWXsEILksud6xhYZCjDYjKkHF/IT5KAUlR4uOcqjgEP/Z9x9e3f8qIlJfoTR9WpP3UUutNeaa8Gv4bMJnvH7N681nE7VzgOxXezN4f7MUe/LwmI4o2sh6ci59r5tK92vGgihiM/4GgFLtgs6t6c+JjExb8v777xMdHY1Op2PgwIHs27ev2fFLly5FEIR6L52uZRWXrwTkLB6ZdkN0iFjzqlGHuCFa7BgOS2lp7gNDKCoqwnNUCIJagTGtHL2PBY3Nhuqc7q9uA0Ko3JaNOaUc4/ESqvbmYa4pzuZQVrJTr8XsW9uNV0NQTFzDSZyH7MpsFmxc4Kxf0i+on3PfwJCBDAgewL78fRzIP4DRZkREpKd/T4Lcmi4jfy7XxlzL4mOLOVN2xmkhAViXsY69+Xvp6N2R+QnzyauWRFi4RzjBbsFcF3sdv6T+wrz187A6pCC0QNdACg2FZFdlN3tNg9VAoUF6r18a9lKTKctORLFdBcrp/EqeX3kcgPnXxHFDwqX1OmopgiAw9p4FlOXlkHvmJAC+YRefMikjcyksX76cRx99lA8//JCBAwfy1ltvMWHCBE6fPk1gYNPp7p6enpw+XWdVbe3YG1EUsdvt9b6bWwvZgiLTblSsS6fw3cNU7c7FcLAA0epAFeRKtljM+++/zy+//ILnmEiSu1Tw0eJPeO+990hMTHQWV1L56nBNkP5jlnxxQhInKgVe18VSWH6YKmU1DrUIDgd9Bze0aLSEnTk76xVX6x3Uu97+hIAEAJKKk5wF2VqaNgygEBQ81u8xVAoVMV4xTjdLfnU+p0pPsersKm74+QZeP/A6AFGeUQA81u8xfHW+WB1WNAoN/73mv86S9DlVzVerrRVCvjrf84sTgPIMMFeAUgP+jad1txVmm50nfzyK1S4ytmsQT17b+bIGN6rUam74v2fw8JO6L3sHtp1rSUamOd544w3uuece7rrrLrp168aHH36Iq6srn332WbPHCYJAcHCw8xXUTA+u9PR0FAoFBw4cqLf9rbfeIioqCofDwZYtWxAEgTVr1tC3b1+0Wi07duxolXv8I7IFReayY8mpwmG0UrlV+qVfsS4DpZeUZeI+KITlq6WslhMnTmC32zlzRippXl5ezs8//8yOHTsYM2YMXbt2xWNUBIYjheAATaQHPtM7og5yQ/+eBVOYZCVQVevp2G/gRc313If93/r8DV9d/X4vPf0li0JtcKpOqTtvr50/Mjh0MNtv2Y6r2hW7w84bB9+od/6k4iROlUrVbmsFirfOm9eveV2KPelxF70Ce7HCKsWknK+cfnpFer1znZfaAm0BnS+8IuwlUGmyct8XB0nMKsdDq+LFKT3aJfPCzduHaU/9ix3Lv6TPpBsu+/Vl2hZRFDFa7ecf2Aa4qJUt+kxbLBYOHjzI008/7dymUCgYO3Ysu3fvbvbYqqoqp7jo06cPL7/8Mt2baOcRHR3N2LFjWbJkCf361VmLlyxZwpw5c+oVtXvqqad4/fXXiY2NxcfH57z3cDHIAkXmsuEw2Sj99jSmU/WDWkWLHVuREUGjwNHRlfL15c59OTk55OZKqcSR/l3I16dRXFzM8uXLmTlzJnFxcQTcl4BotaNwNWI+fZCKVWeoNKmwaCX3jrtoxyfk4lJSa90lT/R/gpndZjbY3zOgvsvj2phr8dB4XPB13DVSXINCWd+o+eWkLzlSdIR3Dr3D4cLD9YJv+wf3d6Yxg+T+gfNbUDL0UvxJiwVKeU32kF/Hlo1vAQaLjTfWn8HLRc1tAyPx1Knr1TQpqjQzZ8k+judW4KZR8tHMvgR7tZ/v3D8ymimPP9tu15dpO4xWO92eW9cu1z6xcAKumvM/houLi7Hb7Q2sH0FBQZw6darJ4zp37sxnn31GfHw8er2e119/nSFDhnD8+HHCw8MbPWbevHnMnz+fN954A61Wy6FDh0hKSuKXX36pN27hwoWMGzeuBXd58cgCReayUbE5SxInCkCseZ2Da+9Ajp46hijW7di/fz82mw3BocRwLAAPwZcqz2TMLkVs2riZuLg4tFGe5D33L8q/+855XFWvBdjVRYBAh44dL/qXd+3DPsy9cYHzx2qrc3vMvajrnMudXe/ky5Nfcm/8vSgEBb0De7Pk2iVY7BY0yqYtGLVzzK3Oxe6wN0hzrqU2QLbFAqVaStPGLaDlN9EMhRUm5n6+n2M5Utru/zacQaNSsPSu/gyJ8yejpJpZn+0jo8SAv7uGpXcNoEdYC1xRMjIy9Rg8eDCDB9f9qBkyZAhdu3blo48+4oUXXmj0mClTprBgwQJWrFjBrbfeytKlSxk1ahTRNWUZajnXwtJWyAJF5rJgrzBTtVOyhPjd0RVVkBuOSguGo0VU75YCQHX9g9j33SoAAgICKCoqIilJCs5UWT3wKU8GBBT2UIp0xeTkZpOenk50dDSV69cDoImNRdelC5ViIAjFCFYLnXr3RRRFPjjyAZWWSmZ1m0WIe8uCHXOrpDk3JVBAyuw5VHiIDt4diPGKuaj351we6v0Qw8KGNUhVbk6cgBQkqxJU2Bw2ioxFdV2Iz8HusHO6TAqYi/aMbtmEqoulv60gUE7lVzB3yX5y9SZ83TT4u2s4U1CFxebgtbWneXGKmjlL9lNcZSbS15VlcwcQ7d98fyQZmUvBRa3kxMKm+2q19bVbgr+/P0qlkoKC+vWRCgoKCA5ueVyUWq2md+/epKSkNDlGo9Ewa9YslixZwrRp0/j66695++23G4xza6bpaGshB8nKXBYqNmWBzYEm0gNdNz/U/i5oY7xw6SFZILQdvEkpy6CiogJXV1cmT65fAEtt9aBnTxWTpvrQ13IQnVEyde7buw97ebn0UqgQn/uQpC53USlINSuUxip8oqM4XnKcD458wJcnv2Tyisn8Z99/KDYWNzvnams15eZyoM590hj/GvIvbu18Kx+P+/hi3556uKpdGRo2FIVwYf89VQqVM3sou7JhJk+JsYT7NtzHmbIzKAUlXf2ar5zrxClQGvYduhB2pRRz8we7ydWbiPV3Y8UDQ1j/92vY9dRotCoFiVnlXPfuDoqrzHQN8eSH+wfL4kSmzREEAVeNql1eLbXsajQa+vbty8aNG53bHA4HGzdurGchOR92u52kpKTzNvCbN28ev//+O4sWLcJmszFtWuPdv9saWaDItDm2EiPV+6R6JF7XRmO327FareTk5PDD7tUId0Tge0cXZ7DXgAEDiIiIIPKcKqgqqyd+/Xvgc8sMej52Ox56yeR/6tQpys+cITt0BDuHvsq6pcmkHirEpq6JczFXcdOWO3n38LsAuKpcsTqsfHXyKyb9NImNmRtpitqHvLfWGzd10w/KWK9Y/jHoHwS4to4L5FIId5eEVG0gbC1Hi45yy+pb2Ju/FxeVC/8Z/p9mrUL1MFy6BcXhEPnb8kQqzTYGxPjy0wNDiPKT3tNQbxdu7V9X82ZYB3+W3zeIQI+rp16DjExb8+ijj/LJJ5/w+eefc/LkSe6//36qq6u56667nGNmzZpVL5B24cKFrF+/nrNnz3Lo0CHuvPNOMjIymDdvXrPX6tq1K4MGDeLJJ5/ktttuczb/u9zILh6ZNqfi90xwiGg7elPmauKLNz9Bq9VSWiqJCIfDwUivkeTm5qJUKunXrx9KpZLZs2dz6GAim785jEKfiVnlhyiKuPXoRrRxHWVWd2zqKo4eOUJ69ERsSh3uPlri+gay/fRusIIRPaXmUnbl7gLg30P+jZfWi3cOvcOxkmN8dOQjxkSOaXTetfEnDRrnXcF08+/G3vy9vHHwDXr496CzT2eWn17Oq/tfxeawEe0ZzZsj36SDT4eWn7TWguLq3/y4ZjiWq6eo0oyHVsWyuQPQ/cG0/X8TOuOuU9ErwoexXQPlPikyMn/glltuoaioiOeee478/Hx69erF2rVr6wXOZmZm1su0KSsr45577iE/Px8fHx/69u3Lrl276Nat23mvd/fdd7Nr1y7mzr30uLqLRRYoMm2KNb8aQ6KU7isM9WXZsmUYDAaqq+sa4uXl5TmtJwkJCbjXVHRVKpVEe4ejKVmJ3XyQFR9txvOnr+gyZDj+PT3Q5emoUqdwODcPjSYWAZHrHu3Gr2tWYbZaweHA5Fq/2/Hw8OG4qd0Idw9n0opJpJanYnPYOFRwiNcPvI6HxoMw9zDC3MOcVogWWxquAObHz+dQwSGOFB3h3vX30iuwF5uzNgMwNnIsLwx9wZkx1GIuMgbF7hApqDAR6u3CtjNSoO3gOL8G4gTAU6fm8QldGmyXkZGp48EHH+TBBx9scv+WLVvqrb/55pu8+eabF3WtnJwcevbsSf/+/ettHzlyZL1EhrZEFigybYJoF6ncloUxqRhEcOnpz/ZT+zEYDPj4+FBWVuYcazQaOXlSqtQ5aNCgeufRpxUg2utiRSqKCtj3yw8o1Wq02qlUu6uoUNjw0BXhorbxyeKPMJlMgANdfgYu3SN5a+SjPLr1USbHTHa6asI8wnBRuWC0GcmszOSbU99wsvRko/dS6za5GnBVu/LB2A+Yt34eJ0pOsDlrM0pBySN9HmF299kXbpmwmsBSKS1fYAzKq2tP8fG2s3wyqx/bkqV/wxGd2t8NJiMj0zRVVVWkp6fz3nvv8eKLL7brXGSBItMmGJOKqFhXUz9DAHNfN44sPwLA9OnTycjIIDU1laKiIiorpQdghw4dGpRsrsgtc7a5n/rUv7CaTOz7+QcK01NxUSbiUt0Tg0cGlV6nqRREMIHCS4EtJQm13kxE3ADGRI1h3fR19YqsKQQFHbw7kFScRHJZslOc3NPzHtRKNdmV2eRU5WC2mbku7rq2frtaFQ+NBx+P+5hndzyLRqnh3vh76ezb+eJOVht/olCBztu5WRRFThdUEuPvhlbV0CJistr5eq9UsfbT7Wc5lCEJ0hEdZYEiI3Ml8+CDD/LNN98wZcqUdnXvgCxQ/jJUHyoAu4hb/8tTqtt0usZCogC/Wd1ZeWQDoijSpUsXwsPDCQ8PZ+jQofz222/Ohle10eh2u4NDazOI7OZHRUGFs819QGQMHn7+uHh48v0L/8Boy0BXPRqjay6i0oooipz0OclZtzPcVBYKKOjdZRhAoym3HX06klScxMGCg854kzk95uCp8Wzjd6ft8dJ68e6Ydy/9ROfGn5xjfVl3vID5Xx7kuvgQ3ru9T4PD1p8ooMpsA2BvmhRr1DHQnUg/1wZjZWRkrhyWLl3K0qVL23sagJzF85fArjdT9t0Zyn5MxniypM2vJzpETMmSQPG/uyelHnUunNGjR9cbGxcnNfALCgoiNjYWgFO78ti3Ko31i49RWlQCOBBQ4O4jWUAiuvXEKzAIu82MwpqGb3F/fIr6csT9GKO0Mdy6PQq1XQFaFbHRTQeDdfSWKqOuTl0NSLEmfwZx0qo0EX/y8Taps/Dqo3mNHvbToYZpzveOiG3ducnIyPypkQXKXwBTcrlzufznFBw1v2zbCmt+NY4qK6gFtFGebNq0CYD4+PgGLpxOnToxY8YMbr/9dmd8xNmarsYVxSayy6XGgC5ad4Sa6HRBoaDbCEnoePjlohBVCMZ8BhwxYthyHMFsxz8ymlueehGlSt3kPGszWSqtkoupq28L64L8lTA0XgPFy6XufbXYHPX2FVaanEGxE7pLGQZh3i5M6X31BBvLyMi0P7KL50+GOV2PytcFpWdd1VFTchmlQhUAvnp3qnbl4jkqsqlTAOAwWDFnVqLr6I2gvDAdazpdRqVg5Bf1AUK+SiUtLQ2FQsGoUaMajBUEoV7Km8VkI/NYKqaK71FqeyAopIwTT8/6pc47DRzK7h++oSz3FOGjx5KycTVamwKfkDCG3Hw7nQcPdwqapuji0wWVQqq8CrS8cNlfiRaUuT9bXEWX4DrL08rEXBwi9I705sUpPdGolNwxMBL1BX6OZGRk/trI3xh/Ikwp5RR9eJSSr+uyUUSHSOWZIlZpDvCLbj9lQhVVO3JwWBp27xRFEf36dIo+Pkrea/spWXoc/W9pFzQH0eagencu6YoiTA4LaWnS8X379m1Rx8usE6VYTcdBrMZuOoxol1xS/qF1uf6iKCIEeOAVHIzdaqXCtBm1zY5DJTDrtXfpMvSa84oTkDoCPz2grqiRbEFphCZqoBRUmJ3Lp/Mr6+378ZAUzzOtTzgBHlreva03g2IvrQqtjIzMXw/ZgvInorbeiCWjAnu1FaWbGsOhQvLNJVg1dhBhu8tprqvuQ/X+fDyG1je5W3OqqNyUVW9b1d48PEZGoPRovg9MLdWHCrBXWChyrYIay79Go2HEiBEtOj51fy4Oa3LNmgWHKREECOgZD0CpqZRHtzzKwYKD9HH1Jh4vyrYmAmCP8ESladk8a5nReQZuajeOFR9r0PtGhnMsKH8UKHX1ZU7lV3JjzfKJ3ApO5lWgVgpcH9+yfkcyMjIyjSELlD8Jol3EVBsAK4I5uQxbqYmK9Rnkq8qd4wod5ZxUZpOwzw33IaH16mJUH5AaUSnc1fje0hn9+gysWZVUbs/Be1JdEzyHwYq92orKW4egrrNUiKJI1Xbp13OxphJMMHHiROLi4vDw8DjvPTjsDs4mnkZ01M1XrJmeb2Q0Z/VnWfD7ArKrpADM1LBqeqR5oqgZ5Nrh4mIcJsdOZnLs5PMP/KshipC2XVoOrLMumW12SqotzvVzLSgrDkv/NmO6BOHtemFiUUZGRuZcZBfPnwBrfjXFS47hqK4Lfi1fmUrFeqkOSZGPEYCICKnfyX5VKmUFJViyKrFXWjBnVmBILMSQKP1a9r2lM7qOPniOkeJUqvfkYq+2StcqNJD70l4K/neQ/LcOItrrKgpaMiqwFRkxaWxUmKSYl4SEBPz9W1YiPS9Fj9kgddl0Udc93MK6dKfQ38rM32aSXZVNuHs43133HcoAD47HVDjHhfTofgHvmsx5yUsEfSaoXSG2Ln6o8Bz3DsCpPOnfwGZ38HOi1P15Wh85IFZGRubSkAXKVYZod2ArNiLWZE44jDaKFh/DnFKOCSvr3ZI4pczBYbCBAO7XRZFfk4lxww03EBkZiU2wc0yVSdEHR8h7aS9Fi45Q+u1pRJMNm7cCMUyHw+HAEqJEHeKGaHFQtUt68JjT9FAjSuwlJqwFdSXrq/dLFpjyaGl/QEAAOl3LG76lJRZir3HvDBwzidg+/Ynt05+ou67nvk3zqbBUEB8Qz1eTv6KrX1dmdptJYkc9Of5GUkOriIqSY0halZOrpL8dx4Gmrn5Jnl5y7/i7a1AIkKs3kac3siOlmKJKMz6uakZ2DmzsjDIyMhfJtm3buP766wkNlSzfP//8c3tPqc2RXTxXGaXfn8GYWAQKAZW/C4JSwFFpQemt5axfCZk5heSrS+mkDMP/tm7sLzyG3W7Hzc0Nf39/Bg0aRGZmJtmKUrABAig9tSh9tTi8lHyXtY7q/23C29ubkpISRsUPJS5PR9XOXDyGh2ErMtabjyWrEk2oO5bsSoxHJQtMsacBgLCwlv+KFkWR5F3HpbL2InSddhN9vbwB+OfOf2Jz2BgWNow3R76JTiWJntu73M73p79nwwBJPD1zFTX1u+KxmiDpe2m56w31duXXxJ/EBrgT4mUnKUfPvrRSNp6UYqBuSAhFo5J/+8jItCbV1dUkJCQwd+5cpk2b1ibXEEURu92OSnVlSAP5W+QqQnSImE5KVTlxiNgKDVjzJAuGz80dOWmQXDoWbBhu8mNT6m42b5YaxQ0cOBBBEIiJiUEQBPQKA7p7OxL2wlBCnh5A4H0J5HW2UlFdid1up6REimfZk3wI0V+NaLJRtScPW7EkUBSu0gfYklWJJa+aosXHEK0O1LGenMg8A9QVYWsJpbnVVOgl60mgqweuNeIEIL86H4CJMROd4gSkvjP/GPQPAJSCkiC3ukwfmUtk22tQngnuwdDp2nq7CmosKMGeOgbESMXzNp0qZN1x6d9pWp+rp3eRjMzVwsSJE3nxxReZOnVqi8anp6ejUCg4cOBAve1vvfUWUVFROBwOtmzZgiAIrFmzhr59+6LVatmxY0dbTP+iuDJkkkyLsBUbEc12BLWCoEf7SgKlwECuvYTVG5bXa8D346oVWK1S3Mi1117rbMLn4uJCeHg4WVlZZJTl4B9bVwL+0KFDAMTExNChQwd27NiB0WgkpZuejsWuVG3PQVDVBKT2DqRqZy7m5DJMp0oRjTY0ER6UD9dRsbwCnU5Hly4t70579kgRdoskUDr1G1hvX61ACXZtWK5+RPgI3hn1Dq5qV9SKpouyyVwA+Umw821pefLroK3f/bjWxRPipaNPlA+Ld6TxS03sSVyAG/Hh9WvWyMhc0YgiWA3tc221a70WEq1JdHQ0Y8eOZcmSJfTr18+5fcmSJcyZMwfFOaUYnnrqKV5//XViY2NbVA7iciELlDbCVmqibEUyCAL+s7ohtILJ25JZiRkrFf4O3AQTXp18sIaqWfH+lzUdfKW4j6KiIqxWKyqViptuuqmBUIiLiyMrK4vVq1ezZs2aujnbbAiCwNSpU/H09MTFxYWVK1dyMDOJDj7DcJRZqcbMas1BjIlWQtRejNcnICCgDnXDf24Ptqz6CZCqxqrVLRcMZ3acQLTnS+6dm25xbhdFsU6gNNJPB2BUZMMCcDIXid0GKx8Chw26Xi+9/kBmqWS1C/HS0T/at96+m/pGXHjHZBmZ9sRqgJfbyT38TC5o3Nrs9PPmzWP+/Pm88cYbaLVaDh06RFJSEr/88ku9cQsXLmTcuHFtNo+LRRYobYDxdKkUdGqUsmoMhwpxG9B0k76qvXlgF3Ef0vx/EktWBVvVJ8gsK4a3dqDRaNBqtZhMJgIDA+nduzfx8fEsXrwYq9XKrbfe2mgcSPfu3dm+fTt2ux2brX7Z+549e+LpKVUFjY+PZ+vWrej1etJiyoktcyNHWUKlwgh2yFKWUG4zEBAYgP/dPTE6zJw6dQqA3r17N3sv6UnFnN6Tj1KtoPuwUIpzpeN81S54BtfVz9Cb9ZjskviSXThtjNUEP98PuYdB6wWTXm8wRBRFErOk7tI9w73wddMwtmsg25OLmT0kmnnDYxocIyMj0z5MmTKFBQsWsGLFCm699VaWLl3KqFGjiI6OrjfuXAvLlYQsUFoR0SFSsTGTyk2ZIILCTYWj2kbF1ixc+wY2WjLekl1J+QoptVYT5YkmzL3BmFpMmXpyFVIMiiAIWCwWLBYLCoWCqVOnEhIiPdgXLFiAKIpNBjoFBATw+OOPO60utQiC4BQnACqVytlx+EDRcaLph16obwotjbTR7c6eKN3UJO05iMPhICQkxDmXpt6nzV+corq8Aoe9gLOJMc7ibB17xNcbm2+QrCe+Ol+0Sm2T55S5RKpL4NvbIWsPKFRw47vg0VBU55QbKa4yo1IIdA+VXDkfz5S+3BQK2XIicxWidpUsGe117TZEo9Ewa9YslixZwrRp0/j66695++23G4xzc2s7K86lIAuUVsJhsFLy7WnMZ6Q4ELdBIXiNjyLvv/uxl5goeOMgfrO7ow6s/4Gs2FxXubX6QD6asA719ltyq6jamYuuozeFhYXY1A60Gi2PP/E4paWlFBYW4u3tXU8QKJXK885Xp9O1KAW4d+/ebNu2jYqqSlKU+U6BotPpMJlMFAeaUXpoKC8vZ//+/c5jmiPvrJ7K4qNYDRtBNOOw9sZhkwq8datx74iiiCAITvdOkKtsPWkzSlLhq5ug9KxkObnlC4i9ptGhR2qsJ11CPNCppc+ZLExkrmoEoU3dLO3NvHnz6NGjB4sWLcJms7VZBlBbIAuUVkB0iBR9koQ1rxpBrcB7agf0wXa++uwjBE+R64TeUGJCvy4d/5nnNMbLqcJ0vMS5bkgswntSrLM6qyWrkqLPjiEabRgOFlCklApihYaFolKpCAwMbNAduLVRq9UMHjyYDRs2cNQ9G4xS/ZU+ffqwa9cu0tPT+e233zh48CB2ux2NRkPPnj2bPefpPelYqzcAUhCv3XwYAE9Bg2/HTpwqPcWctXOY2mEqUZ5RQNPxJzKXSEUeLB4HhhLwjoQ7foCAzk0OT8ySBHivCO/LNEEZGRmAqqoqUlJSnOtpaWkkJibi6+tLZGTTzV+7du3KoEGDePLJJ5k7dy4uLi6XY7qtgpxm3AJEh4it1IStxOh8iee0mLcVGZziJOD+BE6J2SxevJji4mKK9CVk9pfiPMxnypxN+kS7SNlPyYiIHAnN44BbOg6jlao9eViLjZR8c4rCRYlSHEtN5kyhShIoF1JfpDXo168fLi4ulJsrKVdIAZIJCQkoFAoqKyvZt28fdrud6Oho5syZ0+R/AFO1lV8XHeXIhtWAFa1NgLpCtHTo0BGA9w6/R7W1muWnl3O67DTwJxAoh7+ElQ+D3Xrx56gqhK9mwCdjYOt/L20+2Qdg+Ux4o4skTgK7w7yNzYoTgMSscgB6RVw5kf4yMn8FDhw4QO/evZ0W6kcffZTevXvz3HPPnffYu+++G4vFwty5c9t6mq2KbEE5D6IoUvrtKYxHi+ttV3hoCLi7B+pgN8xpknBQRLqxZv9GDh+WLAJ+fn6UlJSw9/gBqj0i6FAZQPWePESLHcORImxFRvJ1lewvPQFAnOCPsC4N/ZqzzkZ7LvH+eE2OpXpvHqXHE0EP4eGXt86EVqslPj6evXv3SvepUBAQEEBcXBzJycmEhYUxZswYYmNjmz1P0pYsUvb+it0k5eV3ySkkx9edYg9J0HS9cRqnS0+zNXsrAFaHlR/O/ABc5QLFYoDfHpeyBTpPgs7Xnv+YxjjyLSSvk5ZzDkDPm8D3IoNSN70IZ6UaOShUMP0TcG/eGme1O0jKkVw8sgVFRubyMnLkSERRPP/ARsjJyaFnz57079+/1c55OZAFSjPYqywYj5VI4kQAocbnLjocOCotFH5wBJWvDnuFmUrByObyRApzShAEgdGjRzN48GDeeecdKioq2MNJKlSVDPntnNRblYJjAXlQ0zA2z78anyIpSFbXxRfPcVGoQ90oLy+nupuK4l2SO+hyW1BAMhPWChRvb28UCgXTp09Hr9cTGBh43tRS0SFyeN16bKadAPhUW+nUtx9ahYPiwiw87CLB/Qfywa5/AeCp8aTCUtdnp7EaKFcNqZvq6izkHLh4gZJTv+ASiV/B6Gcv/Dx2K2TtrVuf8AoEnb+P0en8SkxWBx46FbH+f16fvYzMn4WqqirS09N57733ePHFF9t7OheMLFCawHC0iNLlp8EuUipUkRVrQB0ldeQVrQ5cT1iIKfHBmleNAwe/ag5RVW3C1dWVm266yWlNuPnmm/npp58oKysjS1mC6ACXjj64JASQIuaRsSrbec0CPwMDe0ag6+yLNsqTjIwM1n3yNbm5dRHmPXr0aFFn4NbmXB9nVZXUCLClgbYAOcnlVBVLQbSdtJ7EHTmM2023MXjGDOwvPU/syDFY7VY2ZGwAYOGQhfxz1z+ptFQiINDV7yrus3NyZd1y9oGmx52PHKmQHv3mwoHPIPFrGPk0KM4fFF2PvKOSYNJ5wxNpoGiZp7fWvZMQ7i0HxsrIXAU8+OCDfPPNN0yZMuWqc++ALFAaxXxWT+m3p6kUDZS4GtgqHsOaY4Oc+uNuuX4qnuurKbKUU6UwodPpuO+++/DyqqukGRERwfz583n11VepdBjRPtAJd38vdu/ezbZt2wDo2LEjycnJZGRn4nqHZB1Zt24du3fvrnc9FxcXJk6c2LY33wQKhYLIyEgyMzPp0aPHBR9/8Le9iPYCBAQiDh5BAFz79kPl6srIl14DYFv2Niotlfi7+DMyYiQ/3/gzGRUZBLsFE+ER0cp31IZsfgUOLcMZYFNdVLcv5xA4HC0WBU4qC0CfBQgw6lk4vgIqcuDUr9CtpldOVRE4rOB5nqJTmbukv5GDL2gedfEn3hc2dxkZmXZh6dKlLF26tL2ncdHIAqURKrdmcUbIYZvmpDMWJCwsjKgoKaOkoKCA1NRUftvzO526xqE/IXXxjYuLqydOatFqtURGRpKens66zevJzc3FaJR62vTq1YsbbriBN998k8rKSjZu3EhqaipFRdJDrXfv3gwZMoTU1FQiIyPbNV/99ttvJzExkYSEhAs6zmywkp64BQD/SjtauwN1aCi6rvUr3K5NWwvA+KjxKBVKAl0DCXS9yrrimvSw4w2wW+pv942Dilww62H5HVK8R8wI6DG9Zeetde8EdgU3P+g/D7b9V3qZyiHpB0jfDkotPLC7+diUdMnNRtSQC7o1WaDIyMhcTmSB8gdsejMpySlsU58EwMfHh4iICCZPnoxWKxUKM5vNLFq0CL1ez8FTic5cqOaa48XFxZGenk5qaioA/v7+jBo1iq5du6JQKBg8eDDr169nz549gFQ454YbbqBzZymrIiAgoI3uuOXodDpnT58L4fj2s9hM0vsZl5+L/8MP4Td7NsI5heTMdjObsjYBcG3MRcZoXA7sNsg/AkE9QaVpuD95gyROfOPg5iV12/06wBfTpEJop3+Tth38HLyjIPw8VRzLs2D/p9JyWF/p78D7YfciyD8qlaavxWaE02tg8AMNzyOKsPMtOFPT3iBmRItuGaDCZCW1SHLt9Yr0bvFxMjIyMhdLu6QZv/LKK/Tv3x8PDw8CAwOZMmUKp0+fbo+pNMBwsICTyhwQpFLvDz/8MNOmTXOKE5AsIjNnzmT06NH1jm1OoHTv3h2tVou3tzdTpkzh/vvvp3v37s6GTYMHD2bYsGEAdOnShQceeMApTlqDIxvWcPDXn9slYvvw2nWAHZ1NTaC3H/733YfiD5agHTk7qLZWE+QaRELAhVloLisbn4dPRsN7/SDxG3DY6++vjTfpdiOEJNS9NG5S1g1Ah3EQOxIQJXFh+4O1pZbKAvjtCXi3jxRoC9CjpsiSmx8Me0RaDuoBY56DwQ9K67Vjz8XhgHX/gN+fl9aHPgKhvVp820nZekQRwn1c8HeXK/rKyMi0Pe1iQdm6dSsLFiygf//+2Gw2nnnmGcaPH8+JEyfa1YUhiiLl+3PIVkjZMkOGDGkyO8Xf358RI0bg6urK6tWrCQ4ObtS9U4uvry+PP/44CoWiXhfJWgRBYOzYsQwfPryeGLpQTu5IJCguDN+QOotLRXERv3/6vrRcVMjI2fdctoZuRZl69Pn7AIguLMZn5iyERirdrkuT0mcnRE9AIVyh5XmsRji4TFouz4Cf50vunLHPQ5fJ0v5kKcjXGRdyLv3nQZ/ZkuWlugTe7w+FJ6TOwdc8Xn9scTJ8PAosldJ69HAY/U+IPKfT84jHYeB9oKv53BUch93vQfoOsJlBVfM5slnglwcg6XtpffxLMOTBC7p12b0jIyNzuWkXgbJ27dp660uXLiUwMJCDBw8yYkTLzc5tQdkQDfaNDny8fQgKOn959b59++Ll5YW/v/95xzbVG+dcLkWcHN92kLXv/wtXn47c/+Gbzu0p++syRw6tWUlM735EJ/S56OtcCHt+3oboKEcQlUTqK/Ce3rDMstFmZEv2FgCujb6C3TsnVkoxJF6R0P9uyV1SfEbqYTN7teTasRrAMwxCejU8XhDq3EJufjDxNfjxbtj2miRo/DqAoJDGHV0uiRP/zjDptRqLSyPn050jigO7gXswVOXD0e+g951gqYbvZkpWFYUKblwECbc0PNd5OJxZDsgCRUZG5vJxRfxU1eul4k++vr7nGdm2CIJAckEaAF27dW2RlUEQBDp27IiPT/tX1jyzRxIihvJ0HLY618OJbXvqjTu9e/tlmY/ZaOPsQcndEFgl4jt+PCo/vwbjtmVvw2gzEuYeRg//C88QumwkfiX97X2n5F752xHoNkXatu21OtdK3GhJPJyPHtOh43hJ2Px0j+TK+XQMVBdDRk2mzeAFjYuTxhAEyZIDsPJBWDEfvpgizUvtCrctvyhxInUwLgdkgSIjI3P5aHeB4nA4eOSRRxg6dGiz6atms5mKiop6r9ZGFEXnebt2vfrqbhRn1fRpEK3kJEtNCO12G4UZxwFQ6aSsjTN79+Cw2xscL4oi279ZxtYvl7RKrMrqt5djM9V0Kc7JwOf22xodV5u9MyF6wmVzPV0wVmOdaKiNJdF5wfgXJctE2jbJvQKSQGkJggCT3wCNO+QdgbJ0yDkISyZBRm2mzdALm+e4hVIsikIFR7+F7P3g4gOzV0HHsRd2rhrO7WDcI6xpN6aMjIxMa9LuAmXBggUcO3aMb7/9ttlxr7zyCl5eXs5XRETr18UQBIG5c+fy0EMPtUu11ktBFEWqSjOc6xlJUtDxjuVrEe0mELR0HTEZBB0WQyU5p443OEfO6VPs+/k7Dqz6kZ3Lv+bYlt+xmk0XNZ+TOw6Tflj6Nw2ugIDoGFwa6XJcba1me45k0ZkY0z41XlpE9gGpxohHCPieU9LfOwJ63V5/bEstHrXHj/u3tOzfGdwCoLgmYNwtEPyaDrxuFK07THgJpn0iuYu0njBzxfkzhZqhsQ7GMjIyl5crObmkrWhXgfLggw+yevVqNm/efN7+Mk8//TR6vd75ysrKarN5+fn5NRrIeqVydOM6lj56Pw6bwbmtIPUs+37ZzIFfPgEgKG4gPUZEoVRLD7yTO7c1OM+en1Y7l/eu+IZ1H7zF2g8+uqg57fr+a0DEVQimd1oqPrfdWs86YnVYqbZW882pbzDbzUR7RtPZp/WyllqdzJqieZGDG7pvJrwsxY8AhPUD1wt0VfafB/N3wn1bYcqHddsDOrfMVdQYPabBgwekV2hDYXghpJdIDSI7BV3+CsYyMjIStckle/bsYcOGDVitVsaPH091dXWrXcNut+NwOM4/8DLRLk9hURR58MEHWbFiBZs2bSIm5vwNz7RaLZ6envVeMmCo0LPh43cpzc2utz375D62f/02YMczsCfXjemPe3YiLt49ATi1Y6vTOmK3Wck+cYysYzWxKoK78zzJe7diNhi4EArOplCefxIQiM2rQOnujud119cb89zO5xj09SDePvQ2APfEX77MogvC4YBDX8D2/0nrjRU303pInYCveQom/+/irhPcA9Qukhum153Stj6zLu5ctfjFgcf5A73PR55eKioY6nX1tGmXkfmzsXbtWubMmUP37t1JSEhg6dKlZGZmcvDgwUbHb9u2DbVaTX5+fr3tjzzyCMOHDwekBBVvb29WrlxJt27d0Gq1ZGZmtvm9tJR2yeJZsGABX3/9Nb/88gseHh7ON9DLywsXF/lLsDmO/r6WxHWr8QoKxj8iivKC+h8+QeGD6CjDZpYq0br7deG2BXeRNXUKAHEPLuFosRdWs54NH7+HoUJPzqkT2CzmmuO98AyZi7GyDGvVSkRHKYfXrmPQtKktnuO+lZIlRqnuSFjR7/jcMxele136uN1hZ03aGuf6kNAhXB97fYPzXBGc+FkKOK2lqeqrLt4w6unWueYN70ppwAFdzj/2MpBXLgnZEO+W9V2SkbmaEEURo83YLtd2Ublc9A+z8yWXjBgxgtjYWL744gsef1wqY2C1Wvnqq6947bXXnOMMBgOvvvoqn376KX5+fgQGXjnVu9tFoHzwwQeA1Or5XJYsWcKcOXMu/4SuIvav+pHy/DyKMtNJ2V+XnaNyGQ1Y8DY4KBakYE5X7w7M/u8LlC78t1RFFAhN28BxTXdspl2c3LGl7sSCKwpVBFEJYxg2oz+5yeUcXltAadYaDq/9lYFTp7T4P1L2iWMAeJs0qLQqfGfXtwRkVmZiF6Ug3Yd7P8zNnW6+Mq0nIAWZ1hLQVXq1NQqFVNL+CiFXLwkU2YIi82fEaDMy8OuB5x/YBuy9fS+uatcLPq6lySV33303S5YscQqUVatWYTKZmDFjhnOM1Wpl0aJFF9zC5HLQLgKlPaqZ/hmwmkyU11ibwrtPRutSTUlOJpUlLii1Cfg4iolN/xxLeBBCgB+3v74QMtPRr66LLRHWfEvUne+SdiwHBCUKVSQKdSShnWLpNjSM6AgRldpA4NhIVJqJrHt/AwZ9PtknjhHRved552io0GPQS3MMKcnDa8qNqP6g8E+WSGXv4wPiuSf+ntZ6e9qGvCPS32tfldKLr6LYpNai1sUjW1BkZK4MapNLduzY0ey4OXPm8Oyzz7Jnzx4GDRrE0qVLmTFjRr2CqBqNhvj4+Lae8kUh9+K5iijJzgREEFwpzpUCSgWhD2o3GHhjLF6vvoitIp9hJ9Lwf+ABlAW5ZNw9D+x23EeNQjSbqd61i67iafJ9b0ajU9J5UAjdhobgE+yGrbSU1ImTEASBuA3r6TIoik1LumM1HGH3Tz+3SKCkJR6V5qXwI6jkNN43PdFgzKnSUwB09b1yrASN4nBAfpK0HD1MypD5i2G02Ck3WAEIkS0oMn9CXFQu7L19b7td+0KpTS7Ztm3beZNLAgMDuf7661myZAkxMTGsWbOGLVu21J+Dy8W7mdoaWaC0EWaDgRWv/hvR4eDm515GpVZf8jkL0qUicgqlP3F9Asg8XorVbEehFOjUx5ecggLn2Opduyj//nvspaXouncn9LVXqd65i+pdu1Cs/Ya7fluHykWDUllnEShd+jmOGr+m/udf0MbF0qHvKE5uP0LW8f1Ul5fh5u1D9oljVJWVEBjTAd/Q+unYZ/YeBkCDN55xobh07+7cl65PZ976eRQYpHl28b0yYiyapDwdzBVSh+CAKzjDqA3JrbGeuGtVeOrkrwuZPx+CIFyUm+VyI4oiDz30ECtWrGDLli0tSi4BmDdvHrfddhvh4eHExcUxdOgF1lZqR+RvnDbAYbez+q3/OGuNHN/yOwnjmq7xkbj+N6xmE/2um9qsks09LXVCVmkDmHBPD+xWB5knSnH11KCtKnLGmQAYExMB0HbqRMSnn6D08MBj9CiUPj7YCgux7N+NdtQoAES7neodOyj7+mvn8QUvvQRA3F1/55QyBNGex+G1a4jp3Zvl/34KAJ2bO/d99EU98ZWffAIAb4MFryn1+9EsSlzkFCcAXf3a0YJSkir1wOkxra5uidUEDlvdmOyaFgFB3UB56QLzasQZIOulu2J/ZcnI/BW42OSSCRMm4OnpyYsvvsjChQsv13RbBVmgtDKiKLJpyYekHznk3Lbvl+9RaTR0HDgEja7+B6mytJiNixcBEBTTgcgeTfsCCzPSAfDwD0MQBFQaJbG9pKaAlZuk6ym9vLDXWEE0sbFEfrYYVU0ZfkGjwevGGyldupSiN99CExWNftVK9D+twFZjfdHExGBJS6u7n+8/wfuaeynL/oUjG9bg4lH3S8NUXUV5Xg7+kdEAWIwGDPocQIo/cR8x3Dk2oyKDdRnrnOseag86eHc439vZ+ogiHFwidfa1GiD3EMzfIaUSr3oYxEZqAARfmf7Zy0GuM/5Edu/IyLQnF5tcolAomDNnDi+//DKzZl1i6YLLzF8v4q+NOfjrzxzZsAYEgc5DZ6PSulNRVMjaRW+y58eG1XIzjhx2Lu9dsbzRc9ptVkRRRF8gFafzC4+qt1+026neIxUScx0wAJe+fdF26ULkks9Q/aGJod+996D09sZ85gxnJ02i5IMPsRUUoPT2xnf2LCI/X4rPzJkoaurMiFVVdIuNAsEFU1UZh//Q6LEkp67+SsqBo4CIIHgSqjagia2ruLo4aTEO0cGI8BF8d913fD7xc7TKi2+MeFFU5sNXN8Pqv0viBCD/GBjLYd9HjYsTlQ663XhZp3klUWtBCfWSA2RlZNoTURQbfbUk8zUnJ4dJkyYREhJSb/ucOXMoLy9vmwm3ArIFpRVJ3r+brV9+BkCHAdPIOOGHoB6PwrYSh91G+tHDjLjjrnrHpJ8jUDKPHSHrRBIR3eqCUXf/8A37fv6eToOHYTVVAkpC4mLrnSPvX/9C/8OPAGi7diHs/vsBGjXJq3x9CXr2WXIfewwEAbchQ/C+aTruY8ag0EiddoP/8QxBzzxN4X9fp/Szzwg4tgalOhy7JRl9Yf2CcAVp6XQePKzm/qV70eKN15AY5/XzqvJYlboKgHt63tM+rp2qIvjoGqnTr1ILY56DA4uh9KzUOTg/CQQl/P24VNOkFoXqL+veAcgolapUygGyMjJXH3q9nqSkJL7++mtWrlzZ3tO5YGSBchFYjNKvb41LnbsjPzWZ3955HUSRDgPGkJ0sWTmU6miCYv5GdtL/KMpIw2yoRusqpXg5HHanK0hQ+CE6Stjw8XsMvuk2SrIzKTib4tx/YpvUKVep7YGvf53lwVZUhH7FzwAEPPIIfnPvOm+sgNd1k9FERaLy9UXdRM8hQRDwnj6N0s8+w7JtA57jZlGWl+zcr1BF4bBlUHA2ve49SJbSh72MDtzPCcT67Nhn2EQbA4MH0iuwV7Nza3WSN8CudyFtq7Tu1wFu+VKqM1J0UhIoa2sKrEUPA8+Qps/1F6O02sKaJMnP3SfKu30nIyMjc8HceOON7Nu3j/nz5zNu3Lj2ns4FIwuUFmIxGUk9uI9TO7eSnngInbs7M199B3cfXxwOO6vefAWbxUxE996U5PcF0UZ0vD9ZJ0opznagcfHDYiwh5/QJYnv3ByDreBJmQxWgQeNxM+aKLyjLy+G3d1+vd20P/wAqi4sAAaW2H+X33U5aXDCekyZhKy0Bux2XXr3wn39fi+/Hpef5U4a1cXG49OqFMTERd9SUnbNPoY7FYcugLDcbURQ5uX0zVaXpAASVF+HSV2pOV2ws5qfknwAuf82TlI3w7e1gt0jrgkJqoldbBC1qKBz+EmqKxtH1Cq1m2058tiMNo9VOzzAvhnXwP/8BMjIyVxR/TCm+2pAFSgtIXP8bW79cjM1sdm4z6MvZtORDbnj0GYozM6goKkTj4oJSNxFjrgnfUDfG392dpC3Z7P45Fbs9GCghee8udG4egMimz6TGcEpNFwSFK2q3CYjWzQRGh+AfEYmHXxgmgz95qSYsxh+w26Nws9vRmUoxHS/BdLyuI7H3TdPb5N69b5qOMTER19x8cBpmFHj4d6IsazNVZfmsfvM/nNm7U9qjiiZUmYo6SCqX/Pnxz7E4LCQEJDAgeECbzLFRHHZY+ZAkTqKGgrEMet0BYX3qxkQNRbopEfw7Qc+bLt/8rnB+P1HAh1ulrLEFo+LkDB4ZGZnLjixQzkNRRhqbl36Ew27HOyiELkNHEBgdx+q3XyV57y5+eOmfBEZLMSGuXlHknzWh1im59t4eqLVK+kyIwsNPx2/vHwfLcY5t3sCxzRuc5xcUbqhchjH2rm5s/FxAVEejcfck46QBs8EGWAElguYWVEDU6a8QEAl6+ikqN/yO4cABVAEBeFzbdBrzpeBx7UTyX34F99wMCFMBNgSFJ0EOPWUoER22GnGiQKUbTGxhGV7dOwKQX53P8tNS4O+98fde3odcykaoyAEXH7jzJ1A3EuTpEwUzloGlCnpMB9VlDtq9AtEbrSxcdYIVh7NxiHBjr1AmdA9u72nJyMj8BZEFSjNYTEbWfvAWDrudDv0Hc8P/PeN8yF4z8262frGYjKOHyTgqBYdWlfujcoHRM7viE1xXSji6pz9qlw7YLcdw97KiUNY8qAUlhuqBqDSudOgTSPbJUk7tySf/bIW0WwDfMHfcPDVknijFzU1BcP5eVAEB+M6eje/s2diKixHU6nrN+FoTpbsbntdeS8X6fQjKSER7AYLCC499qxAi/RHtBSjV/ih1EwhRi8SlfYHL9EcRRZEX97yI0WYkPiCe4WHDz3+xS8Gkh5yDdbVg9kip28Tf2rg4qaXbDU3v+4tRZbYxZ8k+DmeWAzC9TzivTu8pW09kZGTaBVmgNIHdZuPn116gMC0VnZs7Y+bORxAESvOqST1UiFrbiztefpMvnvqb86GoUIeRMCaCDn3rd4NUa5WEdgwm5/QtDLq5I/GjIgDYvvwMRzdnE9bJG6VawbAZHfENdcfVS4NvqBs+wa6o1Eocdgcnd+XhevYApl/taOLinOf+YxpxW+B903RKfvkVhbIPdnsBCsET7/I9qLs+gcOWi1LTDb9Qb7pv+ScgoouPZ3vOdrZmb0WlUPHvwf9u+4fc8jshbVvD7X1mtu11/yQYLXbmLt3P4cxyvF3VLJ7dj75RjXdJlZGRkbkcyAKlCU7v3k7W8aOodS5c9/d/cnpfJckHUinJrnKOiR8VTniX7mSflLr36jzDGDwtrtHzRXbzJed0GftWp5F1ohTfUDeO78gFoNe4SAC0rmp6j49scKxCqaD78DAK936DCdDGxjYY05a49O6NS1gQWkVHTKoqXMVw1DYDWrsWqzYBnZuaAYrdWPKyELRadN268dFWKWD3zq530sGnlQuylaRKMSXhUiAuViNkSB2cCeohmZ4AYkdBUPfGzyHjxGS1c+8XB9iXVoqHVsUXcwfSM9yrvaclIyPzF0cWKE1wbNN6APpdN5V9qw0UZkiVVhUKgZAOXuScKefo5my6DL6e/NSzOIgmrKN/vd425xLXJ4D9v6ZhrraRnlRCelIJAIHRnoR38WnRnMwpUtCiJu7yChRBENB17ox7MTi8puNeegJVYCABxUcpDBnAIP+zWD7/CIDgfz7L/spjHC0+ilapZXb32a0zCX02HPtRetV2GB63EIb+TVp32MAtUKoKK7skWozDIfLg14fZnlyMq0bJ0rn9ZXEiIyNzRSALlEYoz88j60SS9KBTdKUwowytq4rBU+OI6xOIzk3NsW05bP36NKd2m1G63oNKUBLa0bvJc3oFuDLn1WGUZFdSklNNSW411eVmBlwXg/lMMqakoyj9/HAfObJJd4j57FkAtHGXv0S8Ojwcl6xiKrxi0ZlK8Rg3ji5ffUWnsz+h2CplNwU9+yzeN93EV5seAmBqh6n4u7SCC+rod/DTvUBNfImgkKq+bngOPEKgukjaHt5PFicXyLrj+fx+sgCtSsHi2f1lt46MjMwVg1zqvhH2rfwBgIhuCSRtkfraDL2pA92Hh6Fzk6qK9hhR584RBCVAPYEiiiJF771P4f/eQHRIJdS1LipCO/rQc2Q4I2/vzOQH4vEL0pBxxx3kPftPsu9/gKqNGxudk72yEmu2VMVVe5ktKADq8DACSo6itJnwKzmO+8iRoFajsEniJPDxx/C98w6KDEVsz94OwG1dbmudi59aDYgQ3BMmvwGPpcCwv0v7fnscTq+RlsP6ts71/uTYHSI2uwNRFHlvcwoA942IZXCcXzvPTEZGpimef/55BEGo9+rS5QrvCH+JyBaUP5B1IomkjVJTO8+g4RTlOgiM8qDL4IYVRnuPi+TUrjzK8qXKsv7h7s59ZcuWUfzeewCoI8LxmTGj0euZzyTjqKqLayn77js8xo51rtuKiqjevRuHyQQOB5q4OFQBAZd+oxeIJjycwKLDBBQlIiCiiYzAtW9fDHv24P/gg/jdfTcAq86uwi7aSQhIINa7lYRU0Rnp75h/QceaaoijnpVSifOPQrokiJwxKTJNYrbZmbV4H0k5evpG+XA8twJXjZK7hrasdbuMjEz70b17d37//XfnukrVuo9wu92OIAgoFFeG7eLKmMUVgt1mZcPH7wLQ/ZrxZJ6U0lP7Toxu1O0iCAKTF8TjHeRK7/GRKGriTwyHDlHw37pqsAWv/If0O+7EePRog3OYTpwAJBcKQPWOnZT/+CNF77xD1oMPkjJuPLlPPEn+c/8CwGPc2AbnOJcqSxVibaptK1I7P6HGzaIKCiLsjf8R/e03+C94wDluTZpkzZjaYWrrXNhugxLpVz4Bneu2K1UwZRFoa+IlBCWE9m6da/6JWbjqBHvTSjFY7GxPLgbgkbEd8XHTtPPMZGRkzodKpSI4ONj58m8mi3Pbtm2o1Wry8/PrbX/kkUcYPlwq+7B06VK8vb1ZuXIl3bp1Q6vVkpmZ2ab3cCHIFpRzUChVDLttNntXfEdA7LWkHs3GN9SNmPimPwReAa7c8e9BznVbcTE5j/wdbDY8J03EmpOL8cgRjAcPUvLZEsLferPe8aaTkkDxvHYCxiNHMezfT94/nm3yeh7N9FPIrMhkyi9TGB89nv8M/09Lb7tFnNuzR+HlhUKnQ6HTofKti1nQm/WcLj0NwDUR17TOhcvSwWEFtSt4htffF9wT/pYIhz4H7yjQycGdzfHToWy+2puJIMDfx3aiuMrM9D7hJER4t/fUZGTaDVEUEY3Gdrm24OJyQSUYkpOTCQ0NRafTMXjwYF555RUiIxtmfgKMGDGC2NhYvvjiCx5//HEArFYrX331Fa+99ppznMFg4NVXX+XTTz/Fz8+PwMDARs/XHsgC5RwEQaDTwKF0HDCE717eD0D34aEIipZ9gESbjZz/ewxbYSGauDhCXngB0eGg5JNPKfn4YwwHDyCKYr0PpOmk1GBP27UrbsOGk/ePf6D090PbsSO6jh3R9ehB5cZNlH72GaqQEHTdujV5/V9Sf8HqsPLr2V95ZdgrzuvkVOVQbion3CMcL23zD3G9WY8gCHhqPOttV+h0KAP8sRcVow4KavTYxMJERESiPaMvLTjWpIcf74GeN4O6pouuf0dozOzo6lsXjyLTJKfyK3hmRRIAD43uyMNjOrbzjGRkrgxEo5HTfdonfq3zoYMIrq7nHwgMHDiQpUuX0rlzZ/Ly8vj3v//N8OHDOXbsGB4eHo0ec/fdd7NkyRKnQFm1ahUmk4kZ54QcWK1WFi1aREJCwqXfUCsjC5RGKM6qojirCqVKQacBLS/zXfTOuxj27kVwdSX8nbdRuEnVXf0XPEDpkiXYi4qxZmaiiZI6HYs2G+ZTksVB160b2pgYOmz8vcF5XeLjUQUG4Nq7d7Nq+1xRUWwsJsA1gG3Z23ho00M4RAf+Lv6smbYGnarxyqqp5anMWTsHtULNyikrcde419uvCQvHWFSMqgmBcrDgIAB9gy7xP/u+TyB5nfQa85y0zb9z88f8BTBZ7Xy5J4NuoZ4MiWsoAHelFHO2uJo7BkbW+5xUmqzc/+UhTFYHwzv68zdZnMjIXHVMnFjXziQ+Pp6BAwcSFRXFd999x901MYB/ZM6cOTz77LPs2bOHQYMGsXTpUmbMmIGbW13lcY1GQ3x8fJvP/2KQBcofMFRY2PCZ1IQvtpe/M2vnfFRu2kzJxx8DEPriC2jPqfaq0GrRxcdjPHgQw4EDToFiTklBNJtRuLo6tzWGoFbjN2fO+eduMziXk8uSAXh2x7M4RCmLqNhYzK7cXYyOHN3g2CJDEQ/8/gDl5nIAvjz5JWMix9DBu4PzYacOD8eYmIg6uI0Fit1at3xylfQ3QBYoL/16ki/2ZAAwtXcYb8xIcP7brD2Wx4KvD2N3iPi6aZjUUwrqFkWRx78/SlpxNaFeOt6+tTfKFloEZWT+CgguLnQ+dLDdrn2xeHt706lTJ1JSUpocExgYyPXXX8+SJUuIiYlhzZo1DTocu1ygm+lyIgfJnoPNYmfl24mU5Rtw99EyaGrjVWH/iGi1kvePfwDgM3MmnpMmNRjj2k/KMCn/8Scq1q7FnJpK0ZtvAeDSvx9CK0RN68165/LpstM8s+MZysxldPbpzC2dbwFgY2bDNGaD1cCCjQvIrc7FTS0p6/cT32fayml8eOTDunvo31+ab6+GwagbMjZwvEQSdpcsUEx190Gu1Ofory5Q9qeXOsUJwIrDOew5WwrA5lOFPPSNJE4A3t+c4gyU/mT7WdYez0etFHj/jj74ysGwMjL1EAQBhatru7wuRRhUVVWRmppKSEjDDNNzmTdvHsuXL+fjjz8mLi6OoUOHXvQ1LzeyQDkHlUZJx/6BuHpquPGR3nj61Ve3oihSuWkzaTNuIf3W27AVS1kQppMnsZeVofDyIujxxxo9t9uggQAYDx0i55G/c3bydVRt3YqgVhNU4x+8VMpMZc7lxccWsydvDzqljtdGvMbEGMk8uDlrM9ZzLBQ2h43/2/p/nCw9ia/Ol28nf0uER4Rz/5LjSyg2Svfpc8sMOu7aicuUycxbN4/7NtyHxW5h6bGl/N+W/8Mu2pkQPYFQ99BLu5HKvPrrrn4Q3cbNBq9gCipMPPj1IQBm9AvnzkFSUNx7m5PZkVzMfV8exGoXGd8tCFeNkuO5FSxcfYIPtqTy8m+nAHh2cjd6R7asYrGMjMyVx2OPPcbWrVtJT09n165dTJ06FaVSyW23NV9vasKECXh6evLiiy9y1113XabZtg6yi+cP9L02ul5Btlqqd++m8K23MB2pSxXOnHs3of99DcP+AwC49u2LoGn8F6rroEGEvPQShsOHMJ9Jltw7BgMBf3sYbYfWqQxb656BOmvKkwOeJNY7FrvDjp/OjxJTCWvT13J93PXOjsM7cnagU+p4b/R7RHtF89HYj0gsSmTJ8SUklyXz8dGPeWbgMwCofH15/9Db7M3fC8Ctv97qdCfd2vlWnhzw5KXfSGX9tDiufRVcvC/9vFchJqude5cdoKDCTMdAd/55XTfKDVa+3ZfFzpQSdqeW4BBhfLcg3r+jDx9sSeWNDWdYsjPdeY7Zg6OYNbhpF6KMjMyVT3Z2NrfddhslJSUEBAQwbNgw9uzZQ8B56mIpFArmzJnDyy+/zKxZsy7TbFsHWaA0wh/FSf7LL1O27AtA8hn63HILFb/+ivnMGdJunOIcV+vGaQxBEPCePg3v6dMAEB0OHBUVKL29W23e5woUgHFR45jecToASoWS27rcxnuJ7/Hf/f9lWNgwfjjzAz8m/4hCUPDaiNfoGdATgAjPCCI8IwhyDeLu9Xfz/ZnvmdVtFuEe4WRWZLLk2BLnNZLLkhEQeKzfY8zsNrN1fJm1FpTo4RA5GHredOnnbEeO5ehx1SiJDXA//+BzEEWRJ344ypFsPd6uaj6d3Q8PnRoPnZpnJ3fl5TWnsNgcXNMpgHdv741aqeCh0R3oEebJst0ZVJlsjOwcwAMjO1yxPmYZGZmW8e233170sTk5OUyaNKmBO2jOnDnMaUF8Y3shC5TzUL1rlyROBAGfO+/E/957UAUE4HPnnRS+9hqV69c7x7r2b3klU0GhaFVxAlBuKncud/DuwL8G/6veg2luj7msTV9LSnkKs9fOJk2fBsBTA55iVOSoBucbEDKAwSGD2Z23mw+OfMBLw17iSNER7KKd+IB44rzi2Jy1mecHP8+YqDGtcxOiWGdBufF98Lm6f/nvOVvC7Z/swV2rYvsTo/FybVnQNcCiLamsPJKLSiGw6I4+RPnVRd7PGRrDtT1COJRZxpiugWhVUrsFQRAY3SWI0V0aD2SWkZH566DX60lKSuLrr79m5cqV7T2dC0aOQWkG0Wol7/l/A+Bz++0E/+MZZ5l5TXgYYW+9iSY62jle17Vre0zTSZlZikH5deqv/HjDjw1qnqiVal4Z/gruanenOJnTfU6zPXMe7vMwAKtSV5FSlkKRUWrMF+URxcKhC9l6y9bWEycAxjKwS/198Gh5iveVSLnBwt+XJ+IQocJk4/Pd6S0+dkdyMf9dJ6WgP39D90bTioO9dEzqGeIUJzIyMjLncuONNzJ+/Hjmz5/PuGaKfF6pyAKlGfQrV2HNzETp70/A3xsWAxMUCiI++hB1VCS+c+citHJfhAvBbDdjtEnVEH10PiiExv9pu/h2YdHYRYS5h3FTp5v4e9/mi5z18O/B2MixiIi8l/geRQZJoAS4SkKtqetcNLXWExdfUGlb99yXEVEUefLHo+TpTbhrpc/FZzvTOJBe2uQx1WYbZpudarONp36SYp1uGxDJnYOubiuSjIxM+7BlyxYMBgNvvvnm+QdfgcguniYQ7XZnXRO/u+agdHdrdJwmKooO69Zdzqk1Sq17RyWocFc3H+vQO7A3a6ataXFcwoO9H2RT1iY2Zm4kzktKvQ50baNyyLXxJx7Np85d6Xy9L5N1xwtQKwW+mjeQx74/QnJhFTd9uJvFs/sxpmudCyatuJpv92eybFcGLholQZ46ssuMhHm78Ozk9rXKycjIyLQXskBpgupdu7BkZKDw8sL7llvbezrnpTZA1kvr1SLhcSFBk3HecfQP7s/evL2k6lMBCHBpo47KtRaUq8S988m2s+xPL+WFKT0I8pQq9CYXVPLCaqnH0hMTupAQ4c1X9wzk6R+T2HiqkB8OZtMzzItfEnNZeSSXpJy6ui9Gq53SaguuGiX/vTkeN638X1RGRuavifzt1wQVNVYRr8mTmrSeXEnUxp/46Nqm1kWMZwx78/Y612tdPK3OVWRBWXssj5d+k3oppRZV8ens/oT7uPC3bxOdZeXvHhYDQKCHjgdHd2DjqULWHMtnV2oJeqNUj0apEBjWwZ87B0VRYbSSVWbgzkFR+LtfvS4uGRkZmUtFFiiNINpsVG3cBIDH+PHtPJuWUevi8dZ6t8n5o72i6623mQUlc7f01yus+XHtTG65kSd/lJrvqZUCqUXVjH1jK/HhXpzIq8DbVc3/ZiSgOKesfHy4N14uavRGK3qjlUhfV+4ZEcukHsH4yWJERkZGph5ykOwfKPlsCWnTpmMvK0Pp5dVsbZMriVoXT1sJlCjP+oGabWJBydgNKb+DoIT4W1r//K2E3SHy9+WJ6I1W4sO9WPvICEZ1DsDuEDmcWQ7Ac9d1I9CjflNGpUKgR1hdQ8d/39CdmYOiZHEiIyMj0wiyBeUPVG3ZgvnMGQDcx41t18yclqI369mesx0Ab513m1zjXIHipfVCq7zEh6qxDCoLILCLtC6KsFFK6abPTPBrWR+k9mDR5hT2ppXiplHy9q29ifF3Y8ldAziYUcpHW88S4evK1N6NW4Cm9Q5nZ0oJwZ46RnZuIyuUjIyMzJ+AK//pe5nxnj4Nt8GDEDRavKZNbe/ptIjHtj7Gnrw9APTw69Em1wh1C0WlUGFz2FrHvfPdbEjfDnethciBkuUkczcotXBNK5TLbyMOpJfy1kaptP/CG3sQ418Xn9Q3ypePZ/k2e/zU3mGIwNAOfnJ1VxkZGZlmkAXKH/C68cb2nsIFcVZ/lj15e1AKSt4f8z5DQoe0yXWUCiWRHpGc1Z+99BTj6hJI2waIcGAxhPevs54MuAc8L7HZYBtxPFfP3KX7sTtEbuwVyrQ+Fx4no1AI3NQ3vA1mJyMj82cmOjqajIyMBtsfeOAB3n///XaYUdsjC5SrjF05u/g59WfC3cPp6NPRaTkZHjacoWFt20Y7yjOKs/qzl25BObsZEKXlE79I/Xbyk0DjAcMeveR5tgVVZhv3LjtIhclG3ygfXp7aU7aAyMjIXDb279+P3W53rh87doxx48Zx8803t9o17HY7giCgUFwZ4alXxixkWsz/Dv6PNWlr+CTpE57Y9gQ/Jf8EwJSOU9r82t39ugMQ6x17aSdK3Vy3bDPB6kek5SEPgZvfpZ27DRBFkVd+O0lOuZEIXxeW3NVfrk8iIyNzWQkICCA4ONj5Wr16NXFxcVxzzTWNjt+2bRtqtZr8/Prd4R955BGGDx8OwNKlS/H29mblypV069YNrVZLZmZmm99LS5G/Za8ibA6bs4fO5NjJZFdmk1qeSqx3LCPCR7T59Wd3n00P/x70C77IzCZ9Dqx/Fo5Looo+s+DQMmnZ1Q8GP9A6E20lRFFky5ki/rf+NMdyKgB4ZWo8nrqWN/yTkZG5shFFEZvF0S7XVmkUF2WJtVgsfPnllzz66KNNHj9ixAhiY2P54osvePzxxwGwWq189dVXvPbaa85xBoOBV199lU8//RQ/Pz8CA9uoSvhFIAuUq4icqhysDis6pY6Xh72MQlAgiuJlczXoVLqLdyNVFsCyG6AkRVp38YGJ/4WB8+HQF9BlMmg9Wm+yF4EoimSVGtmZWsyu1BJ2pxZTXGUBwE2j5NHxnRnWsWHTPhkZmasXm8XBx3/b2i7Xvvfta1BrL7zZ588//0x5eTlz5sxpdtzdd9/NkiVLnAJl1apVmEwmZsyY4RxjtVpZtGgRCQkJFzyPtkYWKFcRZ8vPAlLRtNomfVdFHER1CSy7URInXhEw/gUI7Q1qHQR1h4n/ae8ZsiulmCd/OkpWqbHedhe1kjsHRTL/mji5XomMjMwVweLFi5k4cSKhoc0nFMyZM4dnn32WPXv2MGjQIJYuXcqMGTNwc6vLPtRoNMTHx7f1lC8KWaBcRZzVSwIlxiumnWdyARjL4IsboeikVL5+9krwvcQYllag0mRlxeEchncMIMbfjdfWnSar1IhaKdA7wofBcX4MifOjV6Q3WtWF/8KRkZG5OlBpFNz7duNxHJfj2hdKRkYGv//+Oz/99NN5xwYGBnL99dezZMkSYmJiWLNmDVu2bKk3xsXF5Yr9oSsLlKuIWoES69X+D/gWYbfCVzOkDB23AJh1ZYiTvWdLePS7I+SUGwn10vHeHX1IzCpHqRDY/sRogr105z+JjIzMnwJBEC7KzdJeLFmyhMDAQCZPntyi8fPmzeO2224jPDycuLg4hg5t22zP1kQWKFcRtQGyV41A2fk2ZO8DnRfM+gUCOrXrdMw2O/9bf4ZPtp9FrMlyztWbmLZoFwCjuwTK4kRGRuaKxeFwsGTJEmbPno2qhVXOJ0yYgKenJy+++CILFy5s4xm2LnKa8RVClaWKlLKUetvKTeXsyNnBgfwDWOyWq8uCUpIKW2sixSf+V4o1aUfMNjszPtzNx9skcXJLvwg+vLNvvTG39o9op9nJyMjInJ/ff/+dzMxM5s6d2+JjFAoFc+bMwW63M2vWrDacXesjW1CuEB7f9jg7cnbw3xH/ZWjYUD4//jlfnPgCg80AQJBrENXWanx1vg0a97UKVhPseAO8o6RGfcpL/GhsfwPsZogdCfEzzju8rfnpUA5HsvV4uah5/eYExnULAuDDO/tyMq+CMB8XRne5ctLrZGRkZP7I+PHjEWvNvxdATk4OkyZNIiQkpN72OXPmnDcTqD2RBcoVQGZFJjtydgDwwp4XAKiwSHU3wt3DKTIWUWAoAODx/o+jVrZBHY4db8LWV6XlI99I8SIXW02wPBOOfistj3oW2jEAy2yzs/1MMYu2SNaph8d0dIoTgGt7BHNtj+D2mp6MjIxMm6HX60lKSuLrr79m5cqV7T2dC0YWKFcAK1JWOJdrhUmcVxwLei9gbORYduXu4oltTzA8fDiTY5oJjLLbYNNCiBstWS5qcTiaFxuV+bDrnbr19O1S1s3FumU2vQQOG8RcAxH9L+4cl4DZZuedmoZ++9JK2Z9eBoCvm4bbBshuHBkZmb8GN954I/v27WP+/PmMGzeuvadzwcgCpZ1xiA5WpkjKdkGvBZwtP8vw8OFMipmEUiFFlg8NG8qWW7agElTNp4Md+0EKTN35NvyrXLJcnN0KP8yFmOEw9WNQaRoet/llsBqkpn0aNzi7BdY8Cdn7YcoH0GNay28o5fca64kAY/7V8uNaiXKDhXu/OMi+tFLnNg+til6R3swcFIWrRv7Iy8jI/DX4Y0rx1Yb8bd3O5FblUmgsRKVQMbfHXDTKRgQEoFa0wK1j0tctFyeDsRS+uVUSH8dXSFaNm5bWjy8pPAmHv5CWx78odRk+u0WyogBseA66Xg8tcSuJIqz/p7Q8cD6E921+fCuTWWJgztJ9nC2qxl2rIsbfjTy9iY9n9aVPpM9lnYuMjIyMzKUhC5R2JrlMckXEesU2KU5ajKWqbnnnW3BipSROwvpKtUhOroIV98G0T+pcPhv+BaIDulwHkYMkEXMu+iw4uhx633n+62cfgMIToHKBkU9d2r1cIIlZ5dy9dD8l1RZCvXR8dld/ugR7XtZWADIyMjIyrYecZnwZOFN2hvm/z+d48fEG+1LKpeDNjj4dL/1C1SV1y4lfgaUSoofD7NUwYxkoVJIb6OhyaUzaNkheJ20f+29pW1gjVo/tb4Cjrs03VhP89oTU+M9xTpOtWktMtxvBxfvS76cJlu1O54GvDlJQYQIkt868zw9QUm2hR5gnKxYMpUuwJ3CVtAKQkZGRkWmAbEFpQ3bk7MBit/DU9qcw2owUGYr48YYf642ptaB09G4NgVJUfz18ANz2LWhcofNEGPUMbFwopRP3vFkSGAB97wL/DtKy2gU6T4Iz6+CO7+HHu6E0FU78DD2mS0Llu1mSsAGpfL2LLxz7EVI3Sdv6zLz0e2mCnw5l89wvktA7nV/J8vsG8581pyiuMtMh0J3l9w7GTSt/rGVkZGSudtrNgrJt2zauv/56QkNDEQSBn3/+ub2m0uqIosgHRz7g/t/v52+b/4bRJjWgO1N2BqvDWm9scnmNQGkNC4qhuG6543i48wfQutdt63+PVNW1+Az8MAfyjoDGo6E7ZtrH8NAB6DAGBt4vbdv2P8lakrq5TpwArHsGfp4PKRtAtEP3qRDVNqWUD2WW8dSPSQBoVQpSi6qZ+PZ2fjiYjSDAq9N7yuJERkZG5k9CuwmU6upqEhISeP/999trCm2C3WHnpb0vsShxUaP7k4qSnMtWu5V0fTrQWhaUGoFyxw+S9UPnVX+/zhMGPyQtn1wl/R32CLj51x+n9ajrmTPwXknEFB6HM2slcQM1MSuDpWX/TjDyGXjwINy8tE3qnuSWG7l32UEsdgfjuwXx29+GE+ChpajSDMATE7rQN8q31a8rIyMjI9M+tNvPzYkTJzJx4sT2unybUOvO2ZCxAQGBZwY+g8FmYGvWVgAOFR5iZ+5O+gT1ASTriU204aH2INitFYqF1QoUV7+mxwz7uyQ2jq8Aj1AY9EDz53TxgQHzpEJu21+XUpFBEjDTP4WqAqn6bBvGehgsNu5ZdoDiKjNdgj1485ZeuGlVfDVvIM+vPM7oLoHMG34VlP+XkZGRkWkxV02QrNlspqKiot7rSqLKUsX9v9/PhowNqBVqXr/mdW7tcitze8zl84mfM6XDFAA+OfoJd6+7m+/PfM87h6TiaH2C+lx6MKco1rl43AKaHqdUSVk8170luYA0ruc/96AFUmZOzkE4/rO0zSdKilfxiW7zSrHvbEzheG4Fvm4aPpnVz+nG6RTkwdf3DJLFiYyMzJ+eloRFiKLIc889R0hICC4uLowdO5bk5OTLP9lW4qoRKK+88gpeXl7OV0TElVMRVBRFFmxcwL78fbip3fhg7AeMjx5fb8zYqLH0D+6PiMi+/H0s3L2Qnbk7USvUPNrv0UufhLkC7BZp+Y8umz+iVEO/u1peKdY9QIpHAajKl/56R1/UNC8Ui83B9weyAHhpSg8ifFsgqGRkZGT+ZLQkLOK1117jnXfe4cMPP2Tv3r24ubkxYcIETCZTq83DYrG02rnOx1UjUJ5++mn0er3zlZWV1d5TcpJZmcmhwkOoFWqWTFjCwJCBDcZ4aDz4bMJnrJ2+lkf6PEIX3y4APNLnkdbpTlzr3lG7SZaN1iYkof66Txs0LGyETacKKKm2EOChrddDR0ZGRuavxMSJE3nxxReZOnVqo/tFUeStt97i2Wef5cYbbyQ+Pp5ly5aRm5vbZBLKsmXL8PPzw2w219s+ZcoUZs6UsjGff/55evXqxaeffkpMTAw6na5V76s5rpqUB61Wi1arbe9pNMqhgkMA9PTvSVe/rs2ODXMP4+6ed3N3z7sx2oy4qFpJTBhqaqCcz3pysfxRoHi1jQXLaLHz1sYzfL03k+l9wkkurARgep9wVMqrRk/LyMhcJYiiiO0PD+jLhUqrbbVaTWlpaeTn5zN27FjnNi8vLwYOHMju3bu59dZbGxxz88038/DDD7Ny5UpuvvlmAAoLC/n1119Zv369c1xKSgo//vgjP/30E0qlslXm2xKuGoFyJXOg4AAAfYMurLR7q4kTqKuB0lYCJTi+btkjBNRto6IXrj7ON/sk69jSXekAqJWC3ORPRkamTbCZzbwz+6Z2ufbDn/+AupUsEvn5kvs9KKi+pTkoKMi574+4uLhw++23s2TJEqdA+fLLL4mMjGTkyJHOcRaLhWXLlhEQ0Ex8YxvQbgKlqqqKlJQU53paWhqJiYn4+voSGRnZXtNqEUeKjmCxW+ju153fM3/nt7TfAOgX1K/9JlXdggDZS8EjWDp3dZGUtdMG5JQb+f5ANgD+7lqKq6RfNQtGdSDKz61NrikjIyPzV+aee+6hf//+5OTkEBYWxtKlS5kzZ049y05UVNRlFyfQjgLlwIEDjBo1yrn+6KNSoOjs2bNZunRpO82qeURRZOnxpbxx8A0AIjwiyKqsi4VJCExo6tC25dAyWPWwtOzaRhYUQZDcPCm/t1n8ycdbU7E5RIZ28OPjmf24c/FedCol94+Ma5PrycjIyKi0Wh7+/Id2u3ZrERwslaooKCggJCTEub2goIBevXo1eVzv3r1JSEhg2bJljB8/nuPHj/Prr7/WG+Pm1j4/ENtNoIwcORJRFNvr8heMzWHjlb2v8N2Z75zbsiqzUAkqbKKNoaFDcVNfhn/E4mRI3iCl9wZ1A0s1rD4nCyiw+RiYSyJ6uCRQQnu3+qkLK018s18SewtGdcBNq2LFA21TkVZGRkamFkEQWs3N0p7ExMQQHBzMxo0bnYKkoqKCvXv3cv/99zd77Lx583jrrbfIyclh7NixV0yWrByD0gyiKPLfA/8lpzIHo83I7rzdCAg81u8xys3lbM/Zzr8G/ws3tRv+Lm1kufgjKx+GzF0Nt8eNgeH/J3UkbisGPwixIyG4Z6ufevH2NCw2B30ivRkc20yhORkZGZm/IOcLixAEgUceeYQXX3yRjh07EhMTwz//+U9CQ0OZMmVKs+e+/fbbeeyxx/jkk09YtmxZG99Jy5EFSjOcKD3BFye+cK7rlDr+M/w/jImSaoI83OfhyzshhwPyEqVl/85QlibVPtF5ww3vgldY215fqYLQXhd9uNlm59PtaZRUSXn0wV5a5g2LRW+08sWeDAAeGt1R7kAsIyMj8wdaEhbxxBNPUF1dzb333kt5eTnDhg1j7dq1500N9vLyYvr06fz666/nFTOXE1mgNMOK5BXO5Xj/eJ4a8BQ9A1rfetBiytLAagCVDh7YLVWPLT0rlaN3v/wBTBfKy7+e5PPdGfW2BXnqSC2qxmCx0z3Uk5Gdr/z7kJGRkbnctCQsQhAEFi5cyMKFCy/4/Dk5Odxxxx0Nynk8//zzPP/88xd8vtZAFihNYLKZ+O2slJ3z8biPGRw6uJ1nBBSekP4GdAZFTS56QKf2m88F8PuJAqc4mTU4ivQSA9v+v707D2vqTNsAfieQBGQVkU2woqiAIiqLYB13ZVxobXGrWhG3mbrUqm1n7Nh2XL7azXWkjowK1ZaxarVWZ4rbiPuCiChutchigQCKgLKG5Pn+iESioBwIJMDzuy4uSXLOyZvbA+fhPe95z6+52HIqBWkPigCox55w7wljjDWehw8fIjY2FrGxsfjmm+pvcqsvXKDU4OTvJ/FI8QhOZk7VzgyrF9lPChQ7T/22Q6DswlJ8sCcRADD9VVd8EuyJe3nF+MOXx3EtowAA0KmtGf7YTQc3TGSMMVZrvXr1wsOHD/HFF1+ga9eu+m6OFi5QanA0/SgAIKhDEMQiA5nBNOe6+t8mVKCoVITFuxLxsFgBT0dL/GWE+gfAxaYV+nZqg7PJ6hlw103oBbGYe08YY6wxpaam6rsJNeIC5Rlx8jj8+vBX/C/9fwCgGRCrFw/TgLSz6nvrdAl62oNi33QKlIhTd3H6t/swlRhhw1u9IDN+Ok3yRyM9sOHYHcwZ5AYvZys9tpIxxpih4QKlCiLC6kurcf2BuqfCztQOXrZ6GBRbkAGc/ApI2AGoKtTP2XUDHvz29HsBVCqCSIRGH99xS16I1YdvAwA+DfaEm5251uvd21khYqoeZ99ljDFmsLhAqUJJSgR3CkZWURbySvMwquOoxju9k58O3I5RFyHxUYDyyc2r2vmoJ2erPL3jPQmwdKxxM886kJiJj/cnIbiHE1aM6a77dldx9fd8GIlFaG/TCj8nZiL6QjoUSsIwT3tM8DOMiX8YY4w1DVygVGEsNsZkj8l4w+0NXLt/Db3tejfem++aCmQmPH3cvi8weCnQ4VXgXhzw43T1TK7B62vcRKlCiQ/3XMUg97YY07MdNp1Ixpcx6h6MHefTMDmgPdwdLGtcPzn3MbacugsnK1PMH9JZUPN/jP8d7+9JhJFIBG8Xa8SnPQQAWMiMseL17nx1DmOMMUG4QKlGK0mrxr1yJyvxaXHiPhrwDVPPDFt5UHfxAxZcffq4Bv+7lYOfEzPxc2ImjtzIxn+vPbm7paUM2YVl+OZ4Mja8Vf009f+9loV3/52ACpX6OvsQH2c4WdfubssHr2bigz2JIAIqiBCf9hASIxFGdHfEWB9nOFg1/WmkGWOMNS4DuTylhUv4Tv1vtzeBid8DbkOfL0Zq0QORVVCq+f6/1+QQi4Blr3XDtml+ANSFRGZ+yXPrHb2RrVWcAMD2c2kY/89zWHHwBhLv5dc4QdDh63K8t/MKVAS85u0EC5m65n1noBs2vNUL/bvwxGuMMcaE4x4UfVOUAlef3ICw15R6bSqrSvFhKjHCP97qhaGe9gCAPq42uJCShx/jf9c6fXPqTi7mfH8ZFSrCa95OaCU1ws64e/jniWQAwMXUPGw9nYJX2rRCSG9nzBnYCUoi7LucgVvyR4i+kI4KFeGNXu3w9ThvxKc9xKW0PMzs17Fen4UxxljLxj0o+nbrIFCaD1i5qG/EVw+VPSjzB7vh/JIhmuIEAMb7qgep7oq/B9WTnpLzdx9g1vZLKFeqENTNHqvHe6P3K621tjnE3Q6mEiOkPSjGmiO/Yl9CBv647hT+uvcaos6molypwkgvB3w1tgeMxCL4u9pgzkA3SI1512KMMV1ZtWoV/Pz8YGFhATs7O4wZMwa3b9/WWqa0tBRz585FmzZtYG5ujpCQEGRnZ+upxfXHRxF9u/zkzpE9Jz2dvr6OMgvUPSiejpawaiXRem2klyMsZMa4l1eCqLOpiE97iBlRcShVqDCoa1v8463ekBiJ0cvFWrNOR1szbAn1RfzHQzH8SbHzRcwtpNwvgq25FDP6uWL5692wbkIvGBvxrsQYYw3lxIkTmDt3Ls6fP48jR45AoVBg+PDhKCoq0iyzcOFCHDhwALt378aJEyeQmZmJN998U6ftKC8v1+n2XoRP8ejTwzQg5YT6+56T6725rHx1D4pjNYNbTaVGeGdQJ3wZcxvLD96AWASoCHjVrQ02TfHR9Hh0amsOC5kxHpVVIKi7A0QiEVpJjTGwqx0O38jG/Sd3Ig4N7CD4Sh/GGDM0RARSqPTy3iKJuNZXOMbExGg9joqKgp2dHeLj49G/f38UFBRg69atiI6OxuDBgwEAkZGR8PDwwPnz5xEQEPDcNpcvX45du3YhKSlJ6/mePXsiODgYK1aswLRp05Cfnw8/Pz+Eh4dDJpMhJSWljp9YGC5Q9OnXQ+p/X3kVaP1KvTZVoVQh55G6QHGq4aqZdwZ0QmFJBTafTNYUJ/+a6gsTydOeG7FYhFE9HHEgMRMhvZ01z/es0rMCAP6uNvVqL2OMGQJSqJD5yVm9vLfT8r4QSevWc15QoL6PmY2N+ndxfHw8FAoFhg4dqlnG3d0d7du3x7lz56otUKZPn45ly5YhLi4Ofn7qiykSEhJw9epV7N27PK+h4QAAIpBJREFUV7PcsWPHYGlpiSNHjtSprXXFBYo+JR9T/9t5WL03lf2oDCoCJEYi2JrLql1GJBLhryPcMaOfK8oqlGhnbVpt9f7ZG15Y9no3rWnpu9ibw1RihBKFElIjMbyfKVgYY4w1DpVKhffeew+vvvoqundXT8Apl8shlUphbW2ttay9vT3kcnm123F2dkZQUBAiIyM1BUpkZCQGDBiAjh2fXuhgZmaGLVu2QCqVNswHqgEXKI0h7y5wZgPgEwo4PZmHpKIcSDml/r7T4Hq/xe95xQAAe0uTl950r61F9QVMJbFYBNkz42GMjcTwcrbCxZQ8eLtYafW6MMZYUyWSiOG0vK/e3rsu5s6di6SkJJw+fbrebZg1axamT5+ONWvWQCwWIzo6GmvXrtVaxsvLq9GLE4ALlIb1ezxQ8hA4+ncg+xqQ9CMw4C+AsQwo+B1QFAFmbQH7ut3vp6xCieO3chB+PBnXMtTdfU5WtZtcrS76d7bFxZQ8DHK3a7D3YIyxxiQSiep8mkUf5s2bh4MHD+LkyZNwdn56Gt7BwQHl5eXIz8/X6kXJzs6Gg4NDjdsLDg6GTCbDvn37IJVKoVAoMHbsWK1lzMzMdP45aoMLlIYSHwUcXAhQlcFXZYXA4b9pL9dpMCCufRWtVBHOJT/Az4kZiEmSo7C0Qut1S1NJDWvW3+z+ndDTpTUCOvL4E8YYa0xEhPnz52Pfvn2IjY2Fq6ur1us+Pj6QSCQ4duwYQkJCAAC3b99Geno6AgMDa9yusbExQkNDERkZCalUiokTJ8LUtOH+0BWCCxRdIwJOfg0cX6l+LDZW35F45NfqGwLmpz1dVtIK6P+BoM3/9cer2B3/u+axnYUMb/Z2xtXf83E2+QH8XVu/YO36kRqL0a+zbYNtnzHGWPXmzp2L6Oho7N+/HxYWFppxJVZWVjA1NYWVlRVmzJiBRYsWwcbGBpaWlpg/fz4CAwOrHSBb1cyZM+Hh4QEAOHPmTIN/ltriAkWXVErgl78Acf9SP+7/IdDnT0BhBuDoXe/NK1WEmCT1ThnS2xljfZzh72oDI7EIFUoVrmUUoHs7q3q/D2OMMcOyadMmAMDAgQO1no+MjMS0adMAAGvXroVYLEZISAjKysoQFBSEb7755qXb7ty5M/r27Yu8vDz06dOI96F7CS5QdKWiDNj3J+D6PgAiYMSXQJ/Z6tfMdNPrcDOrEI/KKmAuM8aXT2ZurWRsJEav9g3Xe8IYY0x/arofWlUmJiYIDw9HeHi44G1nZmZizpw5z70WFRUlaFu6xAWKLhABP0wB7hwGxBLgzQigu25n7wOAiyl5AACfV1prFSeMMcZYXeTm5mLnzp2Qy+UICwvTd3O0cIGiC3eOqIsTY1Ng0s5631OnUnxaHk7duY/xvi5wsjZFXKq6QOFJ0hhjjOmCnZ0dbG1tERERgdatDasXnguU+ri+Dzi6DHj4ZNpf/5k6K07O/nYfYVFxKKtQ4ZvYZKwe563pQenDBQpjjDEdqM2pI33hAkWo0kIgbgsgvwbc2A+QUv28kQwInKeTt4hLzcOMby+hrEIFW3Mp7j8ux7s7E0AEtDGTwsuZB8Iyxhhr3rhAeRGVEvguBCh+AIyLAm4eAM6sU0++Vsl9NCASA52HAxY1T4ZTW1fu5SMsMg4lCiX6d2mLf07pjbGbzuFGViEA4OPRnlpT0DPGGGPNERcoL3JjP3D3uPr7f/R++rxtF6DnJKB1B8DjNUBc/4Lh6I1s7Iy7h4spD/C4rAIBHW2weYoPTKVG+HJsD0yMOI8BXdri9Z5O9X4vxhhjzNBxgVIdRQlgbAKcWq39vHV7YOASwGs8YKS76H5/WIx3dyaguFx9usjnldbYGuoH0yfTL3dvZ4WET4bBWCyq9a25GWOMsaaMC5RnXdoGnF4H+IYB2UmA1ByYdVx9w79OgwFj3d0wKb+4HDmPyrB0XxKKy5Xo6WKNGf1cMdTDXlOcVJIY1e2mUowxxlhTxAVKVYoS4OxG9XT0R/+ufq7fQqBtF/WXjhSWKrDs5xv48fLTKetlxmJ8Pc4bbnbmOnsfxhhjrKniAqUqiSkwdT8QORIoSAfsuwOvLqjTpkoVSiw/eAMFJQpMDXgF9pYmeKVNK5y7+wAf7L6KjPwSAIDUSIw+HW3wYZA7FyeMMcbYE1ygPMvaBQj7L3B5O9BrCmAk/O7ABSUKzPr2Ei4+mVjtP1ezAAAd25rhbm4RAKC9TSusGe8N3w48pwljjLEX27RpEzZt2oTU1FQAQLdu3fDJJ59gxIgRmmVKS0uxePFi7Ny5U+tePPb29npqdf3wwIbqWLsAg/8GtH5F8KrZhaWYsPkcLqbmwUJmjBHdHdDGTAqJkUhTnLzl74L/LvgDFyeMMcZqxdnZGZ9//jni4+Nx6dIlDB48GK+//jquX7+uWWbhwoU4cOAAdu/ejRMnTiAzMxNvvqnb266Ul5frdHsvIiJDnkbuBQoLC2FlZYWCggJYWlrquzkAgLu5j/H21ovIyC9BWwsZtk/3h4ejum33H5fhh7h78Gpnhf5d2uq5pYwx1jKVlpYiJSUFrq6uMDExARFBoVDopS0SiaReV2ba2Njgq6++wowZM1BQUIC2bdsiOjoaY8eOBQDcunULHh4eOHfuHAICAp5bf/ny5di1axeSkpK0nu/ZsyeCg4OxYsUKTJs2Dfn5+fDz80N4eDhkMhlSUlJe2rZnc66qtsdvPsWjI4n38hEWFYe8onK42pph+3R/uNi00rxuay7D3EFuemwhY4yxZykUCnz22Wd6ee+PPvoIUqnwK0OVSiV2796NoqIiBAYGAgDi4+OhUCgwdOhQzXLu7u5o3759jQXK9OnTsWzZMsTFxcHPzw8AkJCQgKtXr2Lv3r2a5Y4dOwZLS0scOXJEcFvrgwsUHUhIf4i3t17E47IKeLWzQmSYH2zNZfpuFmOMsWbk2rVrCAwMRGlpKczNzbFv3z54enoCAORyOaRSKaytrbXWsbe3h1wur3Z7zs7OCAoKQmRkpKZAiYyMxIABA9CxY0fNcmZmZtiyZUudiqn64AJFoFvyQizZew3Xfi+AlakEw7s54GBipmb21y2hfjCXcayMMdYUSCQSfPTRR3p7byG6du2KK1euoKCgAHv27EFoaChOnDihKVLqYtasWZg+fTrWrFkDsViM6OhorF27VmsZLy+vRi9OAC5Qak2pImw9fRdfH/oV5UoVAOBBUTn+fTEdAODfwQZbQ/1gxsUJY4w1GSKRSC8H37qQSqVwc1MPFfDx8UFcXBzWr1+PzZs3w8HBAeXl5cjPz9fqRcnOzoaDQ833iQsODoZMJsO+ffsglUqhUCg0Y1gqmZmZNcjneRk+mtZC6v0ifPjjVVxMUV82PMTdDn8b5YGkzEIcSMzEMA97vNm7HYx5tlfGGGONRKVSoaysDIC6YJFIJDh27BhCQkIAALdv30Z6erpmnEp1jI2NERoaisjISEilUkycOBGmpqaN0v6X4QLlGfnF5ZoekkelFdhyKgW7L91DhYrQSmqET0Z7YoKfC0QiETq2Ncdr3nzzPsYYYw1ryZIlGDFiBNq3b49Hjx4hOjoasbGxOHToEADAysoKM2bMwKJFi2BjYwNLS0vMnz8fgYGB1Q6QrWrmzJnw8PAAAJw5c6bBP0ttcYHyjD9/F4/zd/Oee75/l7ZY8Xo3vNJGP11djDHGWq6cnBxMnToVWVlZsLKyQo8ePXDo0CEMGzZMs8zatWshFosREhKiNVHby3Tu3Bl9+/ZFXl4e+vTp05AfQxAuUJ4hggiVl6WLAPh1sMHi4V3h78qTqjHGGNOPrVu3vnQZExMThIeHIzw8XNC2iQiZmZmYM2fOc69FRUUJ2pYucYHyjH/PfnFXGGOMMdZc5ObmYufOnZDL5QgLC9N3c7RwgcIYY4y1UHZ2drC1tUVERARat26t7+Zo4QKFMcYYa6EM+W43fF0sY4wxxgwOFyiMMcZaHEPuOWgOdJEvFyiMMcZaDCMjIwBAeXm5nlvSvBUXFwMQPp1/VTwGhTHGWIthbGyMVq1aITc3FxKJBGIx/52uS0SE4uJi5OTkwNraWlMQ1gUXKIwxxloMkUgER0dHpKSkIC0tTd/Nabasra1feA+g2uAChTHGWIsilUrRuXNnPs3TQCQSSb16TirptUAJDw/HV199BblcDm9vb/zjH/+Av7+/PpvEGGOsBRCLxTAxMdF3M9gL6O3k2w8//IBFixbh008/xeXLl+Ht7Y2goCDk5OToq0mMMcYYMxB6K1DWrFmDWbNmISwsDJ6envjnP/+JVq1aYdu2bfpqEmOMMcYMhF4KlPLycsTHx2Po0KFPGyIWY+jQoTh37ly165SVlaGwsFDrizHGGGPNk17GoNy/fx9KpRL29vZaz9vb2+PWrVvVrrNq1SosW7bsuee5UGGMMcaajsrj9ssmc2syV/EsWbIEixYt0jzOyMiAp6cnXFxc9NgqxhhjjNXFo0ePYGVlVePreilQbG1tYWRkhOzsbK3ns7Oza7xuWiaTQSaTaR6bm5vj3r17sLCwgEgkqnebCgsL4eLignv37sHS0rLe22uOOCPhODNhOC/hODPhODNhdJ0XEeHRo0dwcnJ64XJ6KVCkUil8fHxw7NgxjBkzBgCgUqlw7NgxzJs3r1bbEIvFcHZ21nnbLC0teYd9Cc5IOM5MGM5LOM5MOM5MGF3m9aKek0p6O8WzaNEihIaGwtfXF/7+/li3bh2KiooQFhamryYxxhhjzEDorUCZMGECcnNz8cknn0Aul6Nnz56IiYl5buAsY4wxxloevQ6SnTdvXq1P6TQ0mUyGTz/9VGucC9PGGQnHmQnDeQnHmQnHmQmjr7xE9LLrfBhjjDHGGhnfZ5oxxhhjBocLFMYYY4wZHC5QGGOMMWZwuEBhjDHGmMHhAoUx1qgeP36s7yY0KXwdA2upmn2BolKpAABKpVLPLTFseXl5yM7ORnl5OYCnubHqJScn4+9//zt+++03fTelyUhLS0NQUBD+8pe/AOB9rDYePnyoVdBxsfJiFRUVAHjfqi1DPz426wJl0aJFmDJlCgDAyMhIz60xTESEd999F4GBgXjttdcwYsQI5OfnQywW8y/DahAR3nnnHXTu3BlZWVkNcruF5oaI8Kc//Qlubm44f/48Tpw4AZVKBbG4Wf/6qbf58+fDz88PwcHBePvtt5GVlaWT+441VwsWLMCoUaMAgPetWmgKx8dm+b+YkJCAYcOG4bvvvsMPP/yAQ4cOATDcKlFf/vOf/8DT0xOXLl3Cxo0bMXv2bMjlcsyfPx8A+JfhM/7973/D1tYWFy9exMWLF7F582aYmJgA4L9sa7JmzRpYW1vjypUruHz5Mj777DNIJJLnbhTKnnr8+DGCg4ORkJCAbdu24e2330ZKSgpGjRqFpKQkfTfP4Ny8eROjRo3C/v37ceTIEXz//fcAuBelJk3p+NgsC5S4uDi0a9cOUVFRmDRpEt5//30A6iqRDyRPxcbGYvTo0YiNjcWwYcMwY8YMDBo0CK1atdJ30wzSt99+C0tLSxw8eBC+vr5ISkrC4cOHcffuXZSUlADgQqWqO3fuYP/+/Vi/fj0uXLgALy8veHl5ITExUfPLkPN63pUrV3D37l2Eh4ejf//+mDFjBnbt2oWkpCRs2LABGRkZ+m6iQbl58yYcHR0RGRmJBQsW4P3334dCoeBelBo0qeMjNUNyuZyuXr1KRETHjx8nR0dHWrNmDRERVVRU6LNpBiUnJ4dSUlI0j+VyOfn5+dHKlSvp7Nmz+muYgUpMTKSOHTvS0qVLKSQkhDp06EDdu3cnR0dHmjRpkr6bZ3DKyspIpVJpHqtUKkpMTKROnTrR9u3b9dgyw7Z3714yMzPTeu7KlStkb29PnTp1ou+++05PLTMsSqWSiIgePHhAN27cICKilJQUcnJyor/+9a9ay7CnmtLxscmXmKtWrcLChQuxefNmzQBPe3t7eHl5AQB69uyJ0NBQfPHFF3j06BGMjIxaZNdfdTm1bdsWHTp0AABs3boVzs7OMDIywtGjRxEcHIwPP/xQ0zPQ0lSXV48ePTBy5Eh8+eWXkEql2L17N7777jusXbsWP/30E1auXAmg5fYKPJuZVCqFSCTS/LyJRCK0bdsWZWVlKCsrA9Bys6pU3X7Wrl07ODk54ZNPPtEsFxERgUmTJsHExAS//PILgJaZ3d69e1FYWAjg6TgTGxsbeHh4AABcXFywZMkSrFmzBunp6S1+LF2TPz7qtz6qu1u3bpGnpyd5eXnRhAkTqHXr1jRw4EA6f/48EZHWX24JCQnUvXt3mj17NhG1rKr6ZTlV2rFjBx07dkyT288//0zGxsaav0xaipryOn36NBERFRQU0EcffUR3797VWu+rr74ia2trUigU+mi2XtV2H6v8uevXrx+FhoYSkfbPaUtSXWb9+/enhIQEUiqVtH79ehKJRNS3b1+ytLQkNzc3KiwspB07dlDr1q313fxGd/z4ceratSuJRCLavHnzC5fNzc0lX19fGjNmTCO1zvA0l+Njky1QVq9eTYGBgZoDQlZWFnl7e9P48ePpt99+IyLSvFZaWkobN24kCwsLun79OhERxcbGUl5enn4a34hqkxPR8weK1NRUkkqltHfv3kZtr769KK/bt28TkbpIeVZ0dDTZ2dlpuk5bktrsY5W/9MrKymj69Ok0cuRIevTokd7arG81ZTZu3DhN8RsbG0vh4eF08OBBzXrh4eHk4+ND9+/f10u79eHGjRs0YcIEmjt3Ls2ePZvat29PmZmZL1znwIEDJBKJ6MSJE0REdOjQIc3Pb0vQXI6PTfIUT0VFBa5fvw47OzvN5VEODg7429/+hvT0dGzduhUAYGxsDCKCTCbDyJEj0a9fP0yePBn9+vXDyJEjkZOTo8+P0eBqmxPw/BU7P/30EwIDAzF48OBGbbM+vSyvqKgoAIClpeVz6547dw4BAQGartOWorb7mFgshkqlglQqha2tLbKysmBubt4iu99flllERAQAYMCAAZgzZ47m0lmlUokzZ86gR48eaNOmjd7a39hsbGwwbNgwzJ07F19//TWUSiVWr179wnWGDBmCCRMmIDQ0FAEBARgzZgzy8/Mbp8F61pyOj02yQDE2NkZZWRlKSkqgUqk0VwSMGzcOPj4+uHDhAhISEgA8PU9bUVGBvLw8JCYmwt3dHXK5HF27dtXbZ2gMQnICgHv37iElJQXz58/H559/jokTJ8LKyqrFHESE5pWeno7U1FTMmzcPP/30E6ZOnQqgZY0NEJJZ5bntIUOGIDExEcnJyS3yUvYXZebr64uLFy9q7Wd37txBcnIy5s6di9OnT+Ptt98G0HL2M3t7e4SFhcHDwwMWFhZYsWIFNm7ciMTExBrXycjIwIMHD5CWlgYvLy9kZ2fD39+/EVutP83q+Ki/zpu6qRxlfPz4cRKLxZSQkEBET7urYmNjyc3NjXbt2qVZJy4ujrp06UI9e/bUdGE1d0JzunPnDi1ZsoTat29Pffv2pcTERL20W1+E5vXrr7/S4sWLycHBgQIDA1vkqZ26/CwSEe3Zs4dmzJhB9+/fb3FjUOqS2TfffENdunShPn36tMj9rFLVfaVPnz702muvVTvm69atW+Tn50fdunWjpKSkxmyi3jW346NBFigvGmhY+VpJSQkNGDCAhg4dSkTaO2+nTp1o+fLlmsf379/XDHJsTnSR07JlyzTLnTlzRnPOtjnSZV7FxcV0/PhxOnbsWAO2WP90+bNY+cuzuRcluv799eDBA4qLi2ug1upfbfKqVJnTyZMnSSwW088//0xE6n0rNzeXiIjy8/PpypUrDdRa/Xt27FbVfae5HR8NqkApKyujDz74gMLCwmjhwoWUnJysea3qjlpRUUFyuZxiY2NJIpHQpk2bNIPw8vLyqEePHrRx40Yiap6/DBsip+aM8xKOMxOOMxOmtnkpFAqSy+XPrT958mTy8fGho0ePUlBQEC1dupRKS0sbpe36UFZWRvPmzaMhQ4bQG2+8QTt37tQc38rLyzXLNafjo8EUKLt27SInJycaNGgQffzxx+Tk5ETDhg2jM2fOaC23fv16kkqlFBUVRUREK1euJDs7O5o5cyadPHmSFi5cSK6urnTz5k19fIwGxzkJw3kJx5kJx5kJIyQvmUxGkZGRzx1Mz549SyKRiEQiEQUFBRnEVScNZfv27eTo6EgDBw6k7du309ChQykwMJB++eUXreWa2/5lEAVKQkICjRgxglatWqV5Lj09nVxdXSk6OpqI1N12kydPJicnJ/r222+1dtYNGzbQH/7wB/Ly8iJvb2+6cOFCo3+GxsA5CcN5CceZCceZCSM0r+3bt2vlVVFRQd9++y1JJBLq06cPXb58udE/Q2O6ffs2jR07ltauXat5LjU1lezt7enIkSNEpM5r0qRJzW7/MogC5cKFC7R48WLKyMggoqfdVb1796alS5cSkfqc2sWLF7XmoKg6oYxSqXxu8qzmhnMShvMSjjMTjjMTpq55VSoqKqJ169a9dMK25iIvL48uXLhADx8+1Dx3+fJlGj58OJ07d05zOuzChQvNbv/SS4Gye/duOnLkiGYHrU5+fj517dr1uS6sloRzEobzEo4zE44zE4bzEqYyr5omo5s7dy4ZGxtTz549ydbWlkaMGEGnTp0iIsO7l059NWqBsn37drKzsyN/f39q27Ytvfrqq5qZSlUqlVbFl5aWRp07d9aa7bSl4JyE4byE48yE48yE4byEeVFeVbOaOHEixcTE0OPHj+nMmTM0fvx4CgwM1FezG1SjFCgKhYLWrVtHHh4etGXLFiorK6MzZ87Q1KlTacSIEVojryvPnUVFRZGbmxsVFxdrXnvw4IHWMs0N5yQM5yUcZyYcZyYM5yVMbfOqPJXzbB5Lly6lXr16vbCHqqlqlJlki4qKkJubi9DQUISFhUEqlaJv377w9PREYWEhKioqNMtWziy5f/9+jB49Gqamprhy5QqGDx+OFStWgIia7eyTnJMwnJdwnJlwnJkwnJcwtc2rcmr6qnkolUokJyfDx8cHTk5O+voIDabBCpQ7d+5optG1srLC2LFj8f7772vuyQGob41dVFQEiUSitW5RUREKCgrQp08fzJkzB76+vrCzs8OXX37Z7HZWzkkYzks4zkw4zkwYzkuYuuZVmUdJSQkyMjLw5z//GZcvX8bkyZMBNMPbH+i6S+aHH36gDh06UNeuXcnf35+2bNmi9XrVc2mTJk2iadOmEZH2xDxXrlzRXN8eEBBAN27c0HUz9Y5zEobzEo4zE44zE4bzEqaueVUd/Prjjz/Su+++S/b29jRw4EC6c+dO4zReD3RaoBw+fJg6dOhA4eHhFBMTQ4sWLSKJREIRERFUUlJCROrzZyqVikpKSqhHjx60Y8eO57Zz8uRJGjhwoOYa7+aGcxKG8xKOMxOOMxOG8xJGV3ldv36dvv76azp69Ghjf4RGp5MCpXLQzrJly8jHx0dr2t05c+aQr6+vZjRypYyMDOrQoQP9+uuvRKS++dp7772ni+YYLM5JGM5LOM5MOM5MGM5LGM6r7nQyBqXyvNiNGzfQqVMnSCQSKBQKAMDKlSthYmKC/fv3Qy6Xa9Y5evQoXFxc4OjoiAULFsDT0xPp6elQKBSac3DNDeckDOclHGcmHGcmDOcljK7zouY2zuRF6lLVHD58mObPn09r167VmjY3IiKCLCwsNOfLKivFiIgI6tKlCx0/fpyI1BXluHHjqHXr1tSmTRvq1q1bs7xbJ+ckDOclHGcmHGcmDOclDOelO4IKlMzMTBo9ejTZ2dnR5MmTycvLi6ysrDT/Cbdv36Z27drRxx9/TETquy9WcnBw0NxLoKioiEaPHk3Ozs60c+dOHX0Uw8E5CcN5CceZCceZCcN5CcN56V6tC5SioiIKDQ2lCRMmaM3p7+/vrxlpXFhYSCtXriRTU1NKT08noqfn3wYMGEAzZ87UrHfp0iWdfABDwzkJw3kJx5kJx5kJw3kJw3k1jFqPQWnVqhVkMhmmTZsGV1dXzeQxI0eOxM2bN0FEsLCwwKRJk9C7d2+MHz8eaWlpEIlESE9PR05ODsaMGaPZno+Pj85PVxkCzkkYzks4zkw4zkwYzksYzqthiIhqP+JGoVBoJo1RqVQQi8WYPHkyzMzMEBERoVkuIyMDAwcOREVFBXx9fXH27Fm4u7sjOjoa9vb2uv8UBoZzEobzEo4zE44zE4bzEobz0j1BBUp1+vXrh1mzZiE0NFQzGlssFuO3335DfHw8Lly4AG9vb4SGhuqkwU0V5yQM5yUcZyYcZyYM5yUM51VP9Tk/lJycTPb29lrny6oO/GFqnJMwnJdwnJlwnJkwnJcwnFf91WkeFHrS6XL69GmYm5trzpctW7YMCxYsQE5Oju4qqCaMcxKG8xKOMxOOMxOG8xKG89Id47qsVDnxzMWLFxESEoIjR45g9uzZKC4uxo4dO2BnZ6fTRjZVnJMwnJdwnJlwnJkwnJcwnJcO1bXrpaSkhNzc3EgkEpFMJqPPP/9cJ106zQ3nJAznJRxnJhxnJgznJQznpRv1GiQ7bNgwdO7cGWvWrIGJiYku66ZmhXMShvMSjjMTjjMThvMShvOqv3oVKEqlEkZGRrpsT7PEOQnDeQnHmQnHmQnDeQnDedVfvS8zZowxxhjTNZ3czZgxxhhjTJe4QGGMMcaYweEChTHGGGMGhwsUxhhjjBkcLlAYY4wxZnC4QGGMMcaYweEChTHGGGMGhwsUxpjOTZs2DSKRCCKRCBKJBPb29hg2bBi2bdumue18VUFBQTAyMkJcXBwAIDU1VbN+TV9RUVGIjY2t8XW5XN7YH5sxpkNcoDDGGsQf//hHZGVlITU1Fb/88gsGDRqEBQsWYPTo0aioqNAsl56ejrNnz2LevHnYtm0bAMDFxQVZWVmar8WLF6Nbt25az02YMEGzjdu3b2u9lpWVxTdlY6yJq9PdjBlj7GVkMhkcHBwAAO3atUPv3r0REBCAIUOGICoqCjNnzgQAREZGYvTo0XjnnXcQEBCANWvWwNTUVLMuAJibm8PY2Fjruars7OxgbW3d4J+JMdZ4uAeFMdZoBg8eDG9vb+zduxcAQESIjIzElClT4O7uDjc3N+zZs0fPrWSMGQIuUBhjjcrd3R2pqakAgKNHj6K4uBhBQUEAgClTpmDr1q2Ct+ns7Axzc3PNV7du3XTZZMaYHvApHsZYoyIiiEQiAMC2bdswYcIEGBurfxW99dZb+OCDD5CcnIxOnTrVepunTp2ChYWF5rFEItFtoxljjY4LFMZYo7p58yZcXV2Rl5eHffv2QaFQYNOmTZrXlUoltm3bhv/7v/+r9TZdXV15DApjzQyf4mGMNZr//e9/uHbtGkJCQvD999/D2dkZiYmJuHLliuZr9erViIqKglKp1HdzGWN6xD0ojLEGUVZWBrlcDqVSiezsbMTExGDVqlUYPXo0pk6dCh8fH4wdOxbdu3fXWs/FxQVLlixBTEwMRo0aVav3ysnJQWlpqdZzbdq04VM9jDVhXKAwxhpETEwMHB0dYWxsjNatW8Pb2xsbNmxAaGgoEhISkJiYiH/961/PrWdlZYUhQ4Zg69attS5Qunbt+txz586dQ0BAQL0/B2NMP0RERPpuBGOMMcZYVTwGhTHGGGMGhwsUxhhjjBkcLlAYY4wxZnC4QGGMMcaYweEChTHGGGMGhwsUxhhjjBkcLlAYY4wxZnC4QGGMMcaYweEChTHGGGMGhwsUxhhjjBkcLlAYY4wxZnC4QGGMMcaYwfl/T/rwQQbZngsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "19fc658a-8b26-4af3-9f28-cdef1a60c592",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 修改数据帧列标签\n",
    "df = df.rename(columns={'DGS6MO': '0.5 yr', \n",
    "                        'DGS1': '1 yr',\n",
    "                        'DGS2': '2 yr',\n",
    "                        'DGS5': '5 yr',\n",
    "                        'DGS7': '7 yr',\n",
    "                        'DGS10': '10 yr',\n",
    "                        'DGS20': '20 yr',\n",
    "                        'DGS30': '30 yr'})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "09e83f83-1cca-450b-b743-79546ee46e5e",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 计算日收益率\n",
    "X_df = df.pct_change()\n",
    "X_df = X_df.dropna()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "86b09be1-7970-4041-9013-b531c4eb05d0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>0.5 yr</th>\n",
       "      <th>1 yr</th>\n",
       "      <th>2 yr</th>\n",
       "      <th>5 yr</th>\n",
       "      <th>7 yr</th>\n",
       "      <th>10 yr</th>\n",
       "      <th>20 yr</th>\n",
       "      <th>30 yr</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DATE</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2022-01-04</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>-0.050000</td>\n",
       "      <td>-0.012821</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.012903</td>\n",
       "      <td>0.018405</td>\n",
       "      <td>0.024390</td>\n",
       "      <td>0.029851</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-01-05</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.078947</td>\n",
       "      <td>0.077922</td>\n",
       "      <td>0.043796</td>\n",
       "      <td>0.031847</td>\n",
       "      <td>0.030120</td>\n",
       "      <td>0.009524</td>\n",
       "      <td>0.009662</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-01-06</th>\n",
       "      <td>0.045455</td>\n",
       "      <td>0.097561</td>\n",
       "      <td>0.060241</td>\n",
       "      <td>0.027972</td>\n",
       "      <td>0.024691</td>\n",
       "      <td>0.011696</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-01-07</th>\n",
       "      <td>0.043478</td>\n",
       "      <td>-0.044444</td>\n",
       "      <td>-0.011364</td>\n",
       "      <td>0.020408</td>\n",
       "      <td>0.018072</td>\n",
       "      <td>0.017341</td>\n",
       "      <td>0.014151</td>\n",
       "      <td>0.009569</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-01-10</th>\n",
       "      <td>0.166667</td>\n",
       "      <td>0.069767</td>\n",
       "      <td>0.057471</td>\n",
       "      <td>0.020000</td>\n",
       "      <td>0.011834</td>\n",
       "      <td>0.011364</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-12-23</th>\n",
       "      <td>0.002146</td>\n",
       "      <td>0.004310</td>\n",
       "      <td>0.016509</td>\n",
       "      <td>0.018470</td>\n",
       "      <td>0.015915</td>\n",
       "      <td>0.021798</td>\n",
       "      <td>0.020460</td>\n",
       "      <td>0.024129</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-12-27</th>\n",
       "      <td>0.019272</td>\n",
       "      <td>0.019313</td>\n",
       "      <td>0.002320</td>\n",
       "      <td>0.020725</td>\n",
       "      <td>0.026110</td>\n",
       "      <td>0.024000</td>\n",
       "      <td>0.027569</td>\n",
       "      <td>0.028796</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-12-28</th>\n",
       "      <td>-0.002101</td>\n",
       "      <td>-0.008421</td>\n",
       "      <td>-0.002315</td>\n",
       "      <td>0.007614</td>\n",
       "      <td>0.010178</td>\n",
       "      <td>0.010417</td>\n",
       "      <td>0.007317</td>\n",
       "      <td>0.012723</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-12-29</th>\n",
       "      <td>-0.004211</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.006961</td>\n",
       "      <td>-0.007557</td>\n",
       "      <td>-0.015113</td>\n",
       "      <td>-0.012887</td>\n",
       "      <td>-0.009685</td>\n",
       "      <td>-0.015075</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-12-30</th>\n",
       "      <td>0.006342</td>\n",
       "      <td>0.004246</td>\n",
       "      <td>0.016129</td>\n",
       "      <td>0.012690</td>\n",
       "      <td>0.012788</td>\n",
       "      <td>0.013055</td>\n",
       "      <td>0.012225</td>\n",
       "      <td>0.012755</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>248 rows × 8 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "              0.5 yr      1 yr      2 yr      5 yr      7 yr     10 yr  \\\n",
       "DATE                                                                     \n",
       "2022-01-04  0.000000 -0.050000 -0.012821  0.000000  0.012903  0.018405   \n",
       "2022-01-05  0.000000  0.078947  0.077922  0.043796  0.031847  0.030120   \n",
       "2022-01-06  0.045455  0.097561  0.060241  0.027972  0.024691  0.011696   \n",
       "2022-01-07  0.043478 -0.044444 -0.011364  0.020408  0.018072  0.017341   \n",
       "2022-01-10  0.166667  0.069767  0.057471  0.020000  0.011834  0.011364   \n",
       "...              ...       ...       ...       ...       ...       ...   \n",
       "2022-12-23  0.002146  0.004310  0.016509  0.018470  0.015915  0.021798   \n",
       "2022-12-27  0.019272  0.019313  0.002320  0.020725  0.026110  0.024000   \n",
       "2022-12-28 -0.002101 -0.008421 -0.002315  0.007614  0.010178  0.010417   \n",
       "2022-12-29 -0.004211  0.000000  0.006961 -0.007557 -0.015113 -0.012887   \n",
       "2022-12-30  0.006342  0.004246  0.016129  0.012690  0.012788  0.013055   \n",
       "\n",
       "               20 yr     30 yr  \n",
       "DATE                            \n",
       "2022-01-04  0.024390  0.029851  \n",
       "2022-01-05  0.009524  0.009662  \n",
       "2022-01-06  0.000000  0.000000  \n",
       "2022-01-07  0.014151  0.009569  \n",
       "2022-01-10  0.000000  0.000000  \n",
       "...              ...       ...  \n",
       "2022-12-23  0.020460  0.024129  \n",
       "2022-12-27  0.027569  0.028796  \n",
       "2022-12-28  0.007317  0.012723  \n",
       "2022-12-29 -0.009685 -0.015075  \n",
       "2022-12-30  0.012225  0.012755  \n",
       "\n",
       "[248 rows x 8 columns]"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "6246f6e7-e093-4f13-8a70-273cfe73e84d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='DATE'>"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X_df.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "ab61233d-9e85-4d18-95e8-046bbac06a24",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 自定义函数计算EWMA协方差矩阵\n",
    "def EWMA_cov(df, decay, demean = False):\n",
    "    if demean:\n",
    "        df = df.sub(df.mean())\n",
    "    \n",
    "    Data_array = df.to_numpy()\n",
    "    N = len(df)\n",
    "    \n",
    "    if decay == 1:\n",
    "        w_vec = np.ones((N,1))/(N-1)\n",
    "    else:\n",
    "        l_vec = np.arange(N)[::-1]\n",
    "        w_vec = (1 - decay)/(1 - decay ** N) * decay ** l_vec\n",
    "        w_vec = w_vec.reshape(-1,1)\n",
    "    \n",
    "    Data_array_weighted = Data_array * np.sqrt(w_vec)\n",
    "    \n",
    "    COV = Data_array_weighted.T @ Data_array_weighted\n",
    "    return COV\n",
    "\n",
    "# 自定义函数计算EWMA相关性系数矩阵\n",
    "def EWMA_corr(df,decay,demean = False):\n",
    "    \n",
    "    COV = EWMA_cov(df, decay, demean)\n",
    "    scaling = np.sqrt(np.diag(1/np.diag(COV)))\n",
    "    \n",
    "    CORR = scaling @ COV @ scaling\n",
    "    \n",
    "    return CORR\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "fe3dba72-7bfc-47aa-b894-b19051b2c53c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.00190344, 0.00126441, 0.00096755, 0.00072362, 0.00064422,\n",
       "        0.00055689, 0.00035777, 0.00034067],\n",
       "       [0.00126441, 0.00152806, 0.00115427, 0.00087936, 0.00077943,\n",
       "        0.00067413, 0.00040402, 0.00039019],\n",
       "       [0.00096755, 0.00115427, 0.00113392, 0.00091903, 0.00082137,\n",
       "        0.00071751, 0.00044595, 0.00042766],\n",
       "       [0.00072362, 0.00087936, 0.00091903, 0.00092012, 0.00086714,\n",
       "        0.00078633, 0.00052552, 0.00051461],\n",
       "       [0.00064422, 0.00077943, 0.00082137, 0.00086714, 0.00084629,\n",
       "        0.00077939, 0.00054096, 0.0005338 ],\n",
       "       [0.00055689, 0.00067413, 0.00071751, 0.00078633, 0.00077939,\n",
       "        0.00074207, 0.00053182, 0.00053364],\n",
       "       [0.00035777, 0.00040402, 0.00044595, 0.00052552, 0.00054096,\n",
       "        0.00053182, 0.0004318 , 0.00043641],\n",
       "       [0.00034067, 0.00039019, 0.00042766, 0.00051461, 0.0005338 ,\n",
       "        0.00053364, 0.00043641, 0.00045767]])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 比较结果\n",
    "EWMA_cov(X_df,0.9999,demean = True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "9e1f7433-f95f-4635-b44d-28b50960fbee",
   "metadata": {},
   "outputs": [],
   "source": [
    "EWMA_cov_df = pd.DataFrame(data = EWMA_cov(X_df,0.9999,demean = True),\n",
    "                            index = X_df.columns,\n",
    "                            columns = X_df.columns)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "4c116b0d-3a68-4ea5-bf6b-3211e93df462",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>0.5 yr</th>\n",
       "      <th>1 yr</th>\n",
       "      <th>2 yr</th>\n",
       "      <th>5 yr</th>\n",
       "      <th>7 yr</th>\n",
       "      <th>10 yr</th>\n",
       "      <th>20 yr</th>\n",
       "      <th>30 yr</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0.5 yr</th>\n",
       "      <td>0.001903</td>\n",
       "      <td>0.001264</td>\n",
       "      <td>0.000968</td>\n",
       "      <td>0.000724</td>\n",
       "      <td>0.000644</td>\n",
       "      <td>0.000557</td>\n",
       "      <td>0.000358</td>\n",
       "      <td>0.000341</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1 yr</th>\n",
       "      <td>0.001264</td>\n",
       "      <td>0.001528</td>\n",
       "      <td>0.001154</td>\n",
       "      <td>0.000879</td>\n",
       "      <td>0.000779</td>\n",
       "      <td>0.000674</td>\n",
       "      <td>0.000404</td>\n",
       "      <td>0.000390</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2 yr</th>\n",
       "      <td>0.000968</td>\n",
       "      <td>0.001154</td>\n",
       "      <td>0.001134</td>\n",
       "      <td>0.000919</td>\n",
       "      <td>0.000821</td>\n",
       "      <td>0.000718</td>\n",
       "      <td>0.000446</td>\n",
       "      <td>0.000428</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5 yr</th>\n",
       "      <td>0.000724</td>\n",
       "      <td>0.000879</td>\n",
       "      <td>0.000919</td>\n",
       "      <td>0.000920</td>\n",
       "      <td>0.000867</td>\n",
       "      <td>0.000786</td>\n",
       "      <td>0.000526</td>\n",
       "      <td>0.000515</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7 yr</th>\n",
       "      <td>0.000644</td>\n",
       "      <td>0.000779</td>\n",
       "      <td>0.000821</td>\n",
       "      <td>0.000867</td>\n",
       "      <td>0.000846</td>\n",
       "      <td>0.000779</td>\n",
       "      <td>0.000541</td>\n",
       "      <td>0.000534</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10 yr</th>\n",
       "      <td>0.000557</td>\n",
       "      <td>0.000674</td>\n",
       "      <td>0.000718</td>\n",
       "      <td>0.000786</td>\n",
       "      <td>0.000779</td>\n",
       "      <td>0.000742</td>\n",
       "      <td>0.000532</td>\n",
       "      <td>0.000534</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20 yr</th>\n",
       "      <td>0.000358</td>\n",
       "      <td>0.000404</td>\n",
       "      <td>0.000446</td>\n",
       "      <td>0.000526</td>\n",
       "      <td>0.000541</td>\n",
       "      <td>0.000532</td>\n",
       "      <td>0.000432</td>\n",
       "      <td>0.000436</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30 yr</th>\n",
       "      <td>0.000341</td>\n",
       "      <td>0.000390</td>\n",
       "      <td>0.000428</td>\n",
       "      <td>0.000515</td>\n",
       "      <td>0.000534</td>\n",
       "      <td>0.000534</td>\n",
       "      <td>0.000436</td>\n",
       "      <td>0.000458</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          0.5 yr      1 yr      2 yr      5 yr      7 yr     10 yr     20 yr  \\\n",
       "0.5 yr  0.001903  0.001264  0.000968  0.000724  0.000644  0.000557  0.000358   \n",
       "1 yr    0.001264  0.001528  0.001154  0.000879  0.000779  0.000674  0.000404   \n",
       "2 yr    0.000968  0.001154  0.001134  0.000919  0.000821  0.000718  0.000446   \n",
       "5 yr    0.000724  0.000879  0.000919  0.000920  0.000867  0.000786  0.000526   \n",
       "7 yr    0.000644  0.000779  0.000821  0.000867  0.000846  0.000779  0.000541   \n",
       "10 yr   0.000557  0.000674  0.000718  0.000786  0.000779  0.000742  0.000532   \n",
       "20 yr   0.000358  0.000404  0.000446  0.000526  0.000541  0.000532  0.000432   \n",
       "30 yr   0.000341  0.000390  0.000428  0.000515  0.000534  0.000534  0.000436   \n",
       "\n",
       "           30 yr  \n",
       "0.5 yr  0.000341  \n",
       "1 yr    0.000390  \n",
       "2 yr    0.000428  \n",
       "5 yr    0.000515  \n",
       "7 yr    0.000534  \n",
       "10 yr   0.000534  \n",
       "20 yr   0.000436  \n",
       "30 yr   0.000458  "
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "EWMA_cov_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "13b9534b-a65b-402d-91a9-e5b553145829",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>0.5 yr</th>\n",
       "      <th>1 yr</th>\n",
       "      <th>2 yr</th>\n",
       "      <th>5 yr</th>\n",
       "      <th>7 yr</th>\n",
       "      <th>10 yr</th>\n",
       "      <th>20 yr</th>\n",
       "      <th>30 yr</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0.5 yr</th>\n",
       "      <td>0.001926</td>\n",
       "      <td>0.001279</td>\n",
       "      <td>0.000978</td>\n",
       "      <td>0.000731</td>\n",
       "      <td>0.000651</td>\n",
       "      <td>0.000562</td>\n",
       "      <td>0.000361</td>\n",
       "      <td>0.000344</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1 yr</th>\n",
       "      <td>0.001279</td>\n",
       "      <td>0.001545</td>\n",
       "      <td>0.001166</td>\n",
       "      <td>0.000888</td>\n",
       "      <td>0.000786</td>\n",
       "      <td>0.000680</td>\n",
       "      <td>0.000408</td>\n",
       "      <td>0.000394</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2 yr</th>\n",
       "      <td>0.000978</td>\n",
       "      <td>0.001166</td>\n",
       "      <td>0.001144</td>\n",
       "      <td>0.000926</td>\n",
       "      <td>0.000828</td>\n",
       "      <td>0.000723</td>\n",
       "      <td>0.000449</td>\n",
       "      <td>0.000431</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5 yr</th>\n",
       "      <td>0.000731</td>\n",
       "      <td>0.000888</td>\n",
       "      <td>0.000926</td>\n",
       "      <td>0.000926</td>\n",
       "      <td>0.000873</td>\n",
       "      <td>0.000791</td>\n",
       "      <td>0.000529</td>\n",
       "      <td>0.000518</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7 yr</th>\n",
       "      <td>0.000651</td>\n",
       "      <td>0.000786</td>\n",
       "      <td>0.000828</td>\n",
       "      <td>0.000873</td>\n",
       "      <td>0.000852</td>\n",
       "      <td>0.000784</td>\n",
       "      <td>0.000544</td>\n",
       "      <td>0.000537</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10 yr</th>\n",
       "      <td>0.000562</td>\n",
       "      <td>0.000680</td>\n",
       "      <td>0.000723</td>\n",
       "      <td>0.000791</td>\n",
       "      <td>0.000784</td>\n",
       "      <td>0.000747</td>\n",
       "      <td>0.000535</td>\n",
       "      <td>0.000537</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20 yr</th>\n",
       "      <td>0.000361</td>\n",
       "      <td>0.000408</td>\n",
       "      <td>0.000449</td>\n",
       "      <td>0.000529</td>\n",
       "      <td>0.000544</td>\n",
       "      <td>0.000535</td>\n",
       "      <td>0.000434</td>\n",
       "      <td>0.000439</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30 yr</th>\n",
       "      <td>0.000344</td>\n",
       "      <td>0.000394</td>\n",
       "      <td>0.000431</td>\n",
       "      <td>0.000518</td>\n",
       "      <td>0.000537</td>\n",
       "      <td>0.000537</td>\n",
       "      <td>0.000439</td>\n",
       "      <td>0.000460</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          0.5 yr      1 yr      2 yr      5 yr      7 yr     10 yr     20 yr  \\\n",
       "0.5 yr  0.001926  0.001279  0.000978  0.000731  0.000651  0.000562  0.000361   \n",
       "1 yr    0.001279  0.001545  0.001166  0.000888  0.000786  0.000680  0.000408   \n",
       "2 yr    0.000978  0.001166  0.001144  0.000926  0.000828  0.000723  0.000449   \n",
       "5 yr    0.000731  0.000888  0.000926  0.000926  0.000873  0.000791  0.000529   \n",
       "7 yr    0.000651  0.000786  0.000828  0.000873  0.000852  0.000784  0.000544   \n",
       "10 yr   0.000562  0.000680  0.000723  0.000791  0.000784  0.000747  0.000535   \n",
       "20 yr   0.000361  0.000408  0.000449  0.000529  0.000544  0.000535  0.000434   \n",
       "30 yr   0.000344  0.000394  0.000431  0.000518  0.000537  0.000537  0.000439   \n",
       "\n",
       "           30 yr  \n",
       "0.5 yr  0.000344  \n",
       "1 yr    0.000394  \n",
       "2 yr    0.000431  \n",
       "5 yr    0.000518  \n",
       "7 yr    0.000537  \n",
       "10 yr   0.000537  \n",
       "20 yr   0.000439  \n",
       "30 yr   0.000460  "
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_df.cov()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "c6d0764b-33e4-4c99-a6fd-ce906310c7c0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>0.5 yr</th>\n",
       "      <th>1 yr</th>\n",
       "      <th>2 yr</th>\n",
       "      <th>5 yr</th>\n",
       "      <th>7 yr</th>\n",
       "      <th>10 yr</th>\n",
       "      <th>20 yr</th>\n",
       "      <th>30 yr</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0.5 yr</th>\n",
       "      <td>0.001926</td>\n",
       "      <td>0.001279</td>\n",
       "      <td>0.000978</td>\n",
       "      <td>0.000731</td>\n",
       "      <td>0.000651</td>\n",
       "      <td>0.000562</td>\n",
       "      <td>0.000361</td>\n",
       "      <td>0.000344</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1 yr</th>\n",
       "      <td>0.001279</td>\n",
       "      <td>0.001545</td>\n",
       "      <td>0.001166</td>\n",
       "      <td>0.000888</td>\n",
       "      <td>0.000786</td>\n",
       "      <td>0.000680</td>\n",
       "      <td>0.000408</td>\n",
       "      <td>0.000394</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2 yr</th>\n",
       "      <td>0.000978</td>\n",
       "      <td>0.001166</td>\n",
       "      <td>0.001144</td>\n",
       "      <td>0.000926</td>\n",
       "      <td>0.000828</td>\n",
       "      <td>0.000723</td>\n",
       "      <td>0.000449</td>\n",
       "      <td>0.000431</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5 yr</th>\n",
       "      <td>0.000731</td>\n",
       "      <td>0.000888</td>\n",
       "      <td>0.000926</td>\n",
       "      <td>0.000926</td>\n",
       "      <td>0.000873</td>\n",
       "      <td>0.000791</td>\n",
       "      <td>0.000529</td>\n",
       "      <td>0.000518</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7 yr</th>\n",
       "      <td>0.000651</td>\n",
       "      <td>0.000786</td>\n",
       "      <td>0.000828</td>\n",
       "      <td>0.000873</td>\n",
       "      <td>0.000852</td>\n",
       "      <td>0.000784</td>\n",
       "      <td>0.000544</td>\n",
       "      <td>0.000537</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10 yr</th>\n",
       "      <td>0.000562</td>\n",
       "      <td>0.000680</td>\n",
       "      <td>0.000723</td>\n",
       "      <td>0.000791</td>\n",
       "      <td>0.000784</td>\n",
       "      <td>0.000747</td>\n",
       "      <td>0.000535</td>\n",
       "      <td>0.000537</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20 yr</th>\n",
       "      <td>0.000361</td>\n",
       "      <td>0.000408</td>\n",
       "      <td>0.000449</td>\n",
       "      <td>0.000529</td>\n",
       "      <td>0.000544</td>\n",
       "      <td>0.000535</td>\n",
       "      <td>0.000434</td>\n",
       "      <td>0.000439</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30 yr</th>\n",
       "      <td>0.000344</td>\n",
       "      <td>0.000394</td>\n",
       "      <td>0.000431</td>\n",
       "      <td>0.000518</td>\n",
       "      <td>0.000537</td>\n",
       "      <td>0.000537</td>\n",
       "      <td>0.000439</td>\n",
       "      <td>0.000460</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          0.5 yr      1 yr      2 yr      5 yr      7 yr     10 yr     20 yr  \\\n",
       "0.5 yr  0.001926  0.001279  0.000978  0.000731  0.000651  0.000562  0.000361   \n",
       "1 yr    0.001279  0.001545  0.001166  0.000888  0.000786  0.000680  0.000408   \n",
       "2 yr    0.000978  0.001166  0.001144  0.000926  0.000828  0.000723  0.000449   \n",
       "5 yr    0.000731  0.000888  0.000926  0.000926  0.000873  0.000791  0.000529   \n",
       "7 yr    0.000651  0.000786  0.000828  0.000873  0.000852  0.000784  0.000544   \n",
       "10 yr   0.000562  0.000680  0.000723  0.000791  0.000784  0.000747  0.000535   \n",
       "20 yr   0.000361  0.000408  0.000449  0.000529  0.000544  0.000535  0.000434   \n",
       "30 yr   0.000344  0.000394  0.000431  0.000518  0.000537  0.000537  0.000439   \n",
       "\n",
       "           30 yr  \n",
       "0.5 yr  0.000344  \n",
       "1 yr    0.000394  \n",
       "2 yr    0.000431  \n",
       "5 yr    0.000518  \n",
       "7 yr    0.000537  \n",
       "10 yr   0.000537  \n",
       "20 yr   0.000439  \n",
       "30 yr   0.000460  "
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pd.DataFrame(data = EWMA_cov(X_df,1,demean = True),\n",
    "                            index = X_df.columns,\n",
    "                            columns = X_df.columns)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5b89b6e7-1dc5-4637-ac6a-27f1510c693a",
   "metadata": {},
   "source": [
    "## 滚动EWMA协方差矩阵/相关性系数矩阵"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "c2619296-3054-4186-9045-bef64bb96427",
   "metadata": {},
   "outputs": [],
   "source": [
    "decay = 0.97\n",
    "rolling_EWMA_cov  = X_df.ewm(alpha = 1 - decay, adjust = False).cov()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "2111a20c-640b-4863-b1f5-457c192fb115",
   "metadata": {},
   "outputs": [],
   "source": [
    "rolling_EWMA_corr = X_df.ewm(alpha = 1 - decay, adjust = False).corr()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "851e7490-8283-4a52-a94e-8e05817a95ce",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>0.5 yr</th>\n",
       "      <th>1 yr</th>\n",
       "      <th>2 yr</th>\n",
       "      <th>5 yr</th>\n",
       "      <th>7 yr</th>\n",
       "      <th>10 yr</th>\n",
       "      <th>20 yr</th>\n",
       "      <th>30 yr</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0.5 yr</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.732174</td>\n",
       "      <td>0.758986</td>\n",
       "      <td>0.667839</td>\n",
       "      <td>0.618627</td>\n",
       "      <td>0.563289</td>\n",
       "      <td>0.453387</td>\n",
       "      <td>0.396249</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1 yr</th>\n",
       "      <td>0.732174</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.882799</td>\n",
       "      <td>0.771250</td>\n",
       "      <td>0.676001</td>\n",
       "      <td>0.609397</td>\n",
       "      <td>0.431530</td>\n",
       "      <td>0.367386</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2 yr</th>\n",
       "      <td>0.758986</td>\n",
       "      <td>0.882799</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.905706</td>\n",
       "      <td>0.826413</td>\n",
       "      <td>0.766140</td>\n",
       "      <td>0.614479</td>\n",
       "      <td>0.534469</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5 yr</th>\n",
       "      <td>0.667839</td>\n",
       "      <td>0.771250</td>\n",
       "      <td>0.905706</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.976421</td>\n",
       "      <td>0.943733</td>\n",
       "      <td>0.820573</td>\n",
       "      <td>0.751824</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7 yr</th>\n",
       "      <td>0.618627</td>\n",
       "      <td>0.676001</td>\n",
       "      <td>0.826413</td>\n",
       "      <td>0.976421</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.985409</td>\n",
       "      <td>0.907547</td>\n",
       "      <td>0.850153</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10 yr</th>\n",
       "      <td>0.563289</td>\n",
       "      <td>0.609397</td>\n",
       "      <td>0.766140</td>\n",
       "      <td>0.943733</td>\n",
       "      <td>0.985409</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.940438</td>\n",
       "      <td>0.900808</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20 yr</th>\n",
       "      <td>0.453387</td>\n",
       "      <td>0.431530</td>\n",
       "      <td>0.614479</td>\n",
       "      <td>0.820573</td>\n",
       "      <td>0.907547</td>\n",
       "      <td>0.940438</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.982643</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30 yr</th>\n",
       "      <td>0.396249</td>\n",
       "      <td>0.367386</td>\n",
       "      <td>0.534469</td>\n",
       "      <td>0.751824</td>\n",
       "      <td>0.850153</td>\n",
       "      <td>0.900808</td>\n",
       "      <td>0.982643</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          0.5 yr      1 yr      2 yr      5 yr      7 yr     10 yr     20 yr  \\\n",
       "0.5 yr  1.000000  0.732174  0.758986  0.667839  0.618627  0.563289  0.453387   \n",
       "1 yr    0.732174  1.000000  0.882799  0.771250  0.676001  0.609397  0.431530   \n",
       "2 yr    0.758986  0.882799  1.000000  0.905706  0.826413  0.766140  0.614479   \n",
       "5 yr    0.667839  0.771250  0.905706  1.000000  0.976421  0.943733  0.820573   \n",
       "7 yr    0.618627  0.676001  0.826413  0.976421  1.000000  0.985409  0.907547   \n",
       "10 yr   0.563289  0.609397  0.766140  0.943733  0.985409  1.000000  0.940438   \n",
       "20 yr   0.453387  0.431530  0.614479  0.820573  0.907547  0.940438  1.000000   \n",
       "30 yr   0.396249  0.367386  0.534469  0.751824  0.850153  0.900808  0.982643   \n",
       "\n",
       "           30 yr  \n",
       "0.5 yr  0.396249  \n",
       "1 yr    0.367386  \n",
       "2 yr    0.534469  \n",
       "5 yr    0.751824  \n",
       "7 yr    0.850153  \n",
       "10 yr   0.900808  \n",
       "20 yr   0.982643  \n",
       "30 yr   1.000000  "
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rolling_EWMA_corr.loc['2022-3-30']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "141eeb72-c2c8-4f98-ad6e-37a2222e39dd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 600x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 600x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAe0AAAHwCAYAAACL/De+AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8g+/7EAAAACXBIWXMAAA9hAAAPYQGoP6dpAABAAElEQVR4nO3daXQUddr+8asTkg6iCTqQBQSDgOxLjIABAR0jcZloFBXBMQnbHBF4kPxBJioElzEwIiAHhBmRKCrLOAOiwqAYQR41EAwybqzDviQB2TRAJ6T7/4LHaJuFrk6XnbK/n3PqBVXVVVdh49131a+qbC6XyyUAAFDnBfk7AAAA8AxFGwAAi6BoAwBgERRtAAAsgqINAIBFULQBALAIijYAABZB0QYAwCIo2gAAWARFGwAAi6BoAwBg0Pr165WcnKwmTZrIZrPp7bffvuhn1q1bp2uvvVZ2u12tWrXSq6++ani/FG0AAAwqKSlRly5dNGfOHI/W37Nnj+644w7ddNNN2rJlix599FENGzZM77//vqH92nhhCAAA3rPZbFq+fLlSUlKqXWfChAlauXKlvv7664p5DzzwgE6ePKnVq1d7vC86bQAATJaXl6fExES3eUlJScrLyzO0nXq+DAUAgFU5HA45HA63eXa7XXa7vdbbLiwsVFRUlNu8qKgonT59WmfPnlX9+vU92g5FGwBgGYtsbUzb9o6sgXrqqafc5mVlZWny5Mmm7dMoijYAwDKCTLyom5mZqYyMDLd5vuiyJSk6OlpFRUVu84qKihQeHu5xly1RtAEAkOS7U+FVSUhI0KpVq9zmrVmzRgkJCYa2w0A0AIBlBAWZNxnxww8/aMuWLdqyZYukC7d0bdmyRfv375d0oWtPTU2tWP/hhx/W7t279dhjj2nbtm166aWX9I9//ENjx441dvzGYgIAgM8//1xxcXGKi4uTJGVkZCguLk6TJk2SJB05cqSigEtSixYttHLlSq1Zs0ZdunTRCy+8oPnz5yspKcnQfrlPGwBgGf+0mzcQ7V7HdtO27St02gAAWAQD0QAAlmHm6HErCPDDBwDAOui0AQCWEWTzdwL/omgDACyD0+MAAMAS6LQBAJZBpw0AACyBThsAYBl02gAAwBLotAEAlkGnDQAALIFOGwBgGYHeaVO0AQCWEehFO8APHwAA66DTBgBYBp02AACwBDptAIBl2GyB/ZovOm0AACyCThsAYBlc0wYAAJZApw0AsIxA77Qp2gAAywj0oh3ghw8AgHXQaQMALINOGwAAWAKdNgDAMui0AQCAJdBpAwAsg04bAABYAp02AMAyAr3TpmgDACwj0It2gB8+AADWQacNALCMoMB+nTadNgAAVkGnDQCwDK5pAwAAS6DTBgBYRqB32nWmaC+ytfF3BK/c+2Inf0fwWshdvf0dwSvnmyX4O4LXSs438ncEr5wujfF3BK9tOvK9vyN4pfC7M/6O4LWR18f6O8JvVp0p2gAAXAydNgAAFhEU4Pd8BfhvFgAArMNQ0S4vL9f69et18uRJk+IAAFA9W7DNtMkKDBXt4OBg9evXTydOnDArDwAAqIbh0+MdO3bU7t27zcgCAECNbEE20yYrMFy0n332WY0bN07vvfeejhw5otOnT7tNAADAHIZHj99+++2SpDvvvFM220+/TFwul2w2m8rLy32XDgCAn7FKR2wWw0X7o48+civWAADg12G4aN94440mxAAA4OKsMsrbLIavabdo0UJPP/209u/fb0YeAACqxUA0g8aMGaNly5bp6quv1i233KIlS5bI4XCYkQ0AAPyM4aL96KOPasuWLcrPz1e7du00evRoxcTEaNSoUdq8ebMZGQEAkMTDVbx+jOm1116rWbNm6fDhw8rKytL8+fPVrVs3de3aVQsWLJDL5fJlTgAAAp7XLwwpKyvT8uXLlZOTozVr1uj666/X0KFDdfDgQT3++OP68MMPtWjRIl9mBQAEuEB/YYjhor1582bl5ORo8eLFCgoKUmpqqmbMmKG2bdtWrHP33XerW7duPg0KAECgM1y0u3XrpltuuUVz585VSkqKQkJCKq3TokULPfDAAz4JCADAj6wyytsshov27t27ddVVV9W4ToMGDZSTk+N1KAAAUJnhon2xgg0AgFmsMsrbLF4PRAMA4NdmC/L6pqffhMA+egAALIROGwBgGZwe9wOHw1Hp0adlciqExh8AgGp5XSV/fBLagw8+qHHjxmnbtm0efzY7O1sRERFu0zs67m0UAECA4IUhHrrkkkt09OhRSdK3336r9u3ba9GiRSorK9PKlSsVHx+vL7/80qNtZWZm6tSpU27TnbrCuyMAACBAeHx6/Ny5cxXPE3/88cfVp08fLVu2TPXq1ZPT6dSDDz6oJ554Qu++++5Ft2W322W3293mcWocAHAxVumIzeLVNe3NmzfrzTffVL16Fz4eFBSkxx57THfccYdPwwEAgJ94XLRtNptstgu/cIKCghQREeG2vGHDhjpx4oRv0wEA8DOMHveQy+XSNddcI5vNph9++EFffvmlOnfuXLF8165dio6ONiUkAAASb/nyuGj/8lnirVq1cvvzhg0bdPfdd/smFQAAqMTjop2Wllbj8okTJ9Y6DAAANQn0gWgM2QYAwCJ89kS0xx9/XIWFhVqwYIGvNgkAgBsGovnIoUOHdODAAV9tDgAA/ILPivZrr73mq00BAFAlrmkDAABLMNRpHzt2TAsWLFBeXp4KCwslSdHR0erZs6fS09PVuHFjU0ICACBxTdvjTnvTpk265pprNGvWLEVERKhPnz7q06ePIiIiNGvWLLVt21aff/65mVkBAAhoHnfao0eP1n333ad58+ZVPM70Ry6XSw8//LBGjx6tvLw8n4cEAECSbEGBfVXX46L9n//8R6+++mqlgi1deC752LFjFRcX59NwAAD8HAPRPBQdHa38/Pxql+fn5ysqKsonoQAAQGUed9rjxo3Tn/70JxUUFOjmm2+uKNBFRUXKzc3Vyy+/rGnTppkWFACAIAaieWbkyJF67bXXtHHjRvXv318JCQlKSEhQ//79tXHjRr366qt65JFHzMwKAECdMmfOHMXGxiosLEw9evSo8Yy0JM2cOVNt2rRR/fr11axZM40dO1bnzp3zeH+GbvkaMGCABgwYoLKyMh07dkyS1KhRI4WEhBjZDAAAXqlL17SXLl2qjIwMzZs3Tz169NDMmTOVlJSk7du3KzIystL6ixYt0p///GctWLBAPXv21I4dO5Seni6bzabp06d7tE+vhuGFhIQoJiZGMTExFGwAQECaPn26hg8frsGDB6t9+/aaN2+eLrnkkmrfwfHZZ5+pV69eGjRokGJjY9WvXz8NHDjwot35zwX22HkAgKXYgm2mTUaUlpaqoKBAiYmJFfOCgoKUmJhY7a3PPXv2VEFBQUWR3r17t1atWqXbb7/d4/367NnjtXXvi538HcEr/xzzlb8jeK3vmn3+juCV6NQv/B3BaxGtYv0dwSsRza72dwSvOSLv83cErzS9LMzfEQKOw+GQw+Fwm2e322W32yute+zYMZWXl1e6ayoqKkrbtm2rcvuDBg3SsWPHdMMNN8jlcun8+fN6+OGH9fjjj3uckU4bAGAZtiCbaVN2drYiIiLcpuzsbJ9lX7dunZ577jm99NJL2rx5s5YtW6aVK1fqmWee8XgbdabTBgDgoky85SszM1MZGRlu86rqsqULg7CDg4NVVFTkNr+oqEjR0dFVfmbixIl66KGHNGzYMElSp06dVFJSoj/96U964oknFOTB097otAEA0IUCHR4e7jZVV7RDQ0MVHx+v3NzcinlOp1O5ublKSEio8jNnzpypVJiDg4MlXXgcuCfotAEAllGXbvnKyMhQWlqarrvuOnXv3l0zZ85USUmJBg8eLElKTU1V06ZNK06xJycna/r06YqLi1OPHj20a9cuTZw4UcnJyRXF+2Io2gAAeGHAgAE6evSoJk2apMLCQnXt2lWrV6+uGJy2f/9+t876ySeflM1m05NPPqlDhw6pcePGSk5O1l/+8heP92lzedqTm6x01r3+juAVS48e/0O4vyN4JTq1g78jeC3IoqPHZeHR47tCrDl6/LuzZf6O4LXro837f8uZx241bduX/HW1adv2Fa5pAwBgEZweBwBYRx26pu0PdNoAAFiEoaJdXl6u9evX6+TJkybFAQCgenXlMab+YqhoBwcHq1+/fjpx4oRZeQAAqF6QzbzJAgyfHu/YsaN2795tRhYAAFADw0X72Wef1bhx4/Tee+/pyJEjOn36tNsEAIBpgm3mTRZgePT4j68Qu/POO2Wz/XSQLpdLNptN5eXlvksHAAAqGC7aH330kVuxBgDg11KXHmPqD4aL9o033mhCDAAAcDGGr2m3aNFCTz/9tPbv329GHgAAqhccZN5kAYZTjhkzRsuWLdPVV1+tW265RUuWLJHD4TAjGwAA+BnDRfvRRx/Vli1blJ+fr3bt2mn06NGKiYnRqFGjtHnzZjMyAgAg6cI1bbMmK/D6fMC1116rWbNm6fDhw8rKytL8+fPVrVs3de3aVQsWLPD4hd4AAHiMW768U1ZWpuXLlysnJ0dr1qzR9ddfr6FDh+rgwYN6/PHH9eGHH2rRokW+zAoAQEAzXLQ3b96snJwcLV68WEFBQUpNTdWMGTPUtm3binXuvvtudevWrdptOByOStfBbefLZa8XbDQOACCQWKQjNovh0+PdunXTzp07NXfuXB06dEjTpk1zK9jShRHmDzzwQLXbyM7OVkREhNv01zXbjacHACCAGO60d+/erauuuqrGdRo0aKCcnJxql2dmZiojI8Ntnm1+mtEoAIAAY5UBY2YxXLQvVrA9YbfbZbfb3eaVcmocAIAaeT0QDQCAXx3XtAEAgBXQaQMArCMosHtNijYAwDJsnB73jQMHDmjIkCG+2hwAAPgFnxXt48eP67XXXvPV5gAAqCzIZt5kAR6fHn/nnXdqXL579+5ahwEAANXzuGinpKTIZrPV+CIQm80av1QAABbFNW3PxMTEaNmyZXI6nVVOvJYTAABzeVy04+PjVVBQUO3yi3XhAADUVqC/T9vj0+Pjx49XSUlJtctbtWqltWvX+iQUAACozOOi3bt37xqXN2jQQH379q11IAAAqhXMw1UAALAGBqIBAAAroNMGAFiGVQaMmYVOGwAAi6DTBgBYB9e0AQCAFdBpAwCsg2vaAADACupMpx1yV80Pb6mr+q7Z5+8IXvv4vdP+juCV+EMb/R3Ba1dcs8PfEbxyWafG/o7gtVZDzvk7gldaR0T6O0ItpJi2ZVuAX9OuM0UbAICLCgrsE8SBffQAAFgInTYAwDrotAEAgBXQaQMArINOGwAAWAGdNgDAOni4CgAAsAI6bQCAdQT4NW1DRdvlcunAgQOKjIxUWFiYWZkAAKhagBdtQ0fvcrnUqlUrHThwwKw8AACgGoaKdlBQkFq3bq3vvvvOrDwAAFQvKMi8yQIMp5wyZYrGjx+vr7/+2ow8AACgGoYHoqWmpurMmTPq0qWLQkNDVb9+fbflx48f91k4AADcWKQjNovhoj1jxgzZbIF9nxwAAP5guGinp6ebEAMAAA8EeKdt+Oj79u2rhQsX6uzZs2bkAQAA1TBctOPi4jRu3DhFR0dr+PDh2rBhgxm5AACojNHjxsycOVOHDx9WTk6OiouL1adPH7Vv317Tpk1TUVGRGRkBAIC8fPZ4vXr1dM8992jFihU6ePCgBg0apIkTJ6pZs2ZKSUnRRx995OucAABceGGIWZMF1Op8QH5+vrKysvTCCy8oMjJSmZmZatSokf7whz9o3LhxvsoIAMAFAX563PDo8eLiYr3++uvKycnRzp07lZycrMWLFyspKaniVrD09HTdeuutmjZtms8DAwAQqAwX7SuvvFItW7bUkCFDlJ6ersaNG1dap3PnzurWrVu123A4HHI4HG7zQh3nZbfz0jEAQA0s0hGbxfDR5+bmauvWrRo/fnyVBVuSwsPDtXbt2mq3kZ2drYiICLcp+6U1RqMAABBQDLe2vXv3rvVOMzMzlZGR4TYvtPDlWm8XAPDbZrMFdqftl/PRdrtddrvdbZ7rBKfGAQCoCZUSAGAdXNMGAABWQKcNALAOOm3PnT17Vp988om+/fbbSsvOnTunhQsX+iwYAACV8EQ0z+zYsUPt2rVTnz591KlTJ/Xt21dHjhypWH7q1CkNHjzYlJAAAMBA0Z4wYYI6duyo4uJibd++XZdddpl69eql/fv3m5kPAICfBPhjTD1O+dlnnyk7O1uNGjVSq1at9O677yopKUm9e/fW7t27zcwIAABkoGifPXtW9er9NG7NZrNp7ty5Sk5OVt++fbVjxw5TAgIAUCHAO22PR4+3bdtWn3/+udq1a+c2f/bs2ZKkO++807fJAACAG49/Wtx9991avHhxlctmz56tgQMHyuVy+SwYAACVBHin7XHKzMxMrVq1qtrlL730kpxOp09CAQCAyni4CgDAOizSEZuFog0AsI4AL9qBffQAAFgInTYAwDos8rhRs9BpAwBgERRtAIB11LFbvubMmaPY2FiFhYWpR48eys/Pr3H9kydPauTIkYqJiZHdbtc111xT451Zv8TpcQAAvLB06VJlZGRo3rx56tGjh2bOnKmkpCRt375dkZGRldYvLS3VLbfcosjISP3zn/9U06ZNtW/fPjVs2NDjfVK0AQDWUYdGj0+fPl3Dhw+veMPlvHnztHLlSi1YsEB//vOfK62/YMECHT9+XJ999plCQkIkSbGxsYb2WXeOHgAAP3I4HDp9+rTb5HA4qly3tLRUBQUFSkxMrJgXFBSkxMRE5eXlVfmZd955RwkJCRo5cqSioqLUsWNHPffccyovL/c4Y53ptM83S/B3BK9Ep37h7wheiz+00d8RvFLwhXWfvBe29Tt/R/DK5R8f93cEr3U78oO/I3glpHm4vyN4zf5YinkbN7HTzs7O1lNPPeU2LysrS5MnT6607rFjx1ReXq6oqCi3+VFRUdq2bVuV29+9e7c++ugjPfjgg1q1apV27dqlRx55RGVlZcrKyvIoY50p2gAAXJTNvKKdmZmpjIwMt3l2u91n23c6nYqMjNTf//53BQcHKz4+XocOHdLzzz9P0QYAwAi73e5xkW7UqJGCg4NVVFTkNr+oqEjR0dFVfiYmJkYhISEKDg6umNeuXTsVFhaqtLRUoaGhF90v17QBANZhCzJvMiA0NFTx8fHKzc2tmOd0OpWbm6uEhKov9/bq1Uu7du1ye7nWjh07FBMT41HBlijaAAB4JSMjQy+//LJee+01bd26VSNGjFBJSUnFaPLU1FRlZmZWrD9ixAgdP35cY8aM0Y4dO7Ry5Uo999xzGjlypMf75PQ4AMA66tAtXwMGDNDRo0c1adIkFRYWqmvXrlq9enXF4LT9+/cr6Gd5mzVrpvfff19jx45V586d1bRpU40ZM0YTJkzweJ8UbQAAvDRq1CiNGjWqymXr1q2rNC8hIUEbNmzwen8UbQCAddh4YQgAALAAOm0AgHWYeJ+2FRgq2i6XSwcOHFBkZKTCwsLMygQAQNUCvGgbOnqXy6VWrVrpwIEDZuUBAADVMFS0g4KC1Lp1a333nTWfnwwAsLg69j7tX5vhlFOmTNH48eP19ddfm5EHAABUw/BAtNTUVJ05c0ZdunRRaGio6tev77b8+HHrvg0IAFDHBfg1bcNFe8aMGbIF+H1yAAD4g+GinZ6ebkIMAAA8EOCdtuGj79u3rxYuXKizZ8+akQcAAFTDcNGOi4vTuHHjFB0dreHDh9fqGaoAABhis5k3WYDhoj1z5kwdPnxYOTk5Ki4uVp8+fdS+fXtNmzat0svAAQDwqTryPm1/8SplvXr1dM8992jFihU6ePCgBg0apIkTJ6pZs2ZKSUnRRx995OucAAAEvFr9tMjPz1dWVpZeeOEFRUZGKjMzU40aNdIf/vAHjRs3zlcZAQC4IMAfrmJ49HhxcbFef/115eTkaOfOnUpOTtbixYuVlJRUcStYenq6br31Vk2bNq3KbTgcDjkcDrd5QSGlsttDvTgEAAACg+GfFldeeaXmz5+vtLQ0HTx4UP/85z916623ut273blzZ3Xr1q3abWRnZysiIsJtmjrlNe+OAAAQMGy2INMmKzDcaefm5qp37941rhMeHq61a9dWuzwzM1MZGRlu84JCvjQaBQCAgGK4aF+sYHvCbrfLbre7zStzcmocAHARFumIzRLYRw8AgIUY7rQBAPCbAO+0KdoAAOuwyJPLzBLYP1kAALAQrzvtkpIS/eMf/9CuXbsUExOjgQMH6ne/+50vswEA4M4iD0Exi8dFu3379vrkk090xRVX6MCBA+rTp49OnDiha665Rv/973/1zDPPaMOGDWrRooWZeQEACFge/2TZtm2bzp8/L+nCfdZNmjTRvn37lJ+fr3379qlz58564oknTAsKAAAvDPFCXl6eJk+erIiICEnSpZdeqqeeekqffPKJT8MBAICfGLqm/eOjSs+dO6eYmBi3ZU2bNtXRo0d9lwwAgF+ySEdsFkNF++abb1a9evV0+vRpbd++XR07dqxYtm/fPgaiAQBgIo+LdlZWltufL730Urc/v/vuuz55xCkAANWi0/bML4v2Lz3//PO1DgMAQI0C/JavwD56AAAshMeYAgCsI8BPjwf20QMAYCF02gAA6+CFIQAAwArotAEA1sE1bQAAYAV02gAA6wjwTrvOFO2S8438HcErEa1i/R3Ba1dcs8PfEbwStvU7f0fw2rlz/k7gnRMnXf6O4LXiL635ToRLi8/4O4LXIv0d4DeszhRtAAAuxmVip22FcekUbQCAZbhcJhZtC1TtwL44AACAhdBpAwAsw6Vgf0fwKzptAAAsgk4bAGAZZl7TtsJINDptAAAsgk4bAGAZrgDvNQP76AEAsBBDnbbL5dKBAwcUGRmpsLAwszIBAFAlp5nXtC3A0NG7XC61atVKBw4cMCsPAADVcinYtMkKDBXtoKAgtW7dWt99Z91nPwMAYFWGzzNMmTJF48eP19dff21GHgAAquVyBZk2WYHh0eOpqak6c+aMunTpotDQUNWvX99t+fHjx30WDgAA/MRw0Z4xY4ZsVniqOgDgNyfQb/kyXLTT09NNiAEAAC7G8E+Wvn37auHChTp79qwZeQAAqJZTQaZNVmA4ZVxcnMaNG6fo6GgNHz5cGzZsMCMXAAD4BcNFe+bMmTp8+LBycnJUXFysPn36qH379po2bZqKiorMyAgAgCRGj3uVsl69errnnnu0YsUKHTx4UIMGDdLEiRPVrFkzpaSk6KOPPvJ1TgAAeLhKbT6cn5+vrKwsvfDCC4qMjFRmZqYaNWqkP/zhDxo3bpyvMgIAAHkxery4uFivv/66cnJytHPnTiUnJ2vx4sVKSkqquBUsPT1dt956q6ZNm+bzwACAwGWV09hmMVy0r7zySrVs2VJDhgxRenq6GjduXGmdzp07q1u3btVuw+FwyOFwuM+zOWS3243GAQAgYBj+yZKbm6utW7dq/PjxVRZsSQoPD9fatWur3UZ2drYiIiLcphl/nWc0CgAgwLgUZNpkBYY77d69e9d6p5mZmcrIyHCbd9Z2qNbbBQDgt8xw0fYFu91e6VS4s/SYP6IAACyE92kDAABL8EunDQCAN6xyP7VZKNoAAMsI9Fu+PD760aNH63//93/NzAIAAGrgcdGeM2eObrzxRl1zzTWaOnWqCgsLzcwFAEAlgX7Ll6GUH3zwgW6//XZNmzZNzZs311133aX33ntPTqfTrHwAAOD/GCranTp1qnjL1xtvvCGHw6GUlBQ1a9ZMTzzxhHbt2mVWTgAAeMuXNx8KCQnR/fffr9WrV2v37t0aPny43nzzTbVp08bX+QAAwP+p9U+L5s2ba/LkydqzZ49Wr17ti0wAAFTJqWDTJivwuGhfddVVCg6u/qBsNptuueUWn4QCAACVeXyf9p49e8zMAQDARVnl2rNZeLgKAMAyrHJrllkC++gBALAQOm0AgGUE+unxwD56AAAshKINALCMunbL15w5cxQbG6uwsDD16NFD+fn5Hn1uyZIlstlsSklJMbQ/ijYAAF5YunSpMjIylJWVpc2bN6tLly5KSkpScXFxjZ/bu3evxo0bp969exveJ0UbAGAZdekxptOnT9fw4cM1ePBgtW/fXvPmzdMll1yiBQsWVPuZ8vJyPfjgg3rqqad09dVXG94nRRsAAINKS0tVUFCgxMTEinlBQUFKTExUXl5etZ97+umnFRkZqaFDh3q1X0aPAwAsw8z7tB0OhxwOh9s8u90uu91ead1jx46pvLxcUVFRbvOjoqK0bdu2Krf/ySef6JVXXtGWLVu8zlhnivbp0hh/R/BKRDPjpzfqiss6NfZ3BK9c/vFxf0fw2omTLn9H8Mq5c/5O4L2iA6X+juCVsyetmVuSIk3cttNl3r+h7Owpeuqpp9zmZWVlafLkybXe9vfff6+HHnpIL7/8sho1auT1dupM0QYAwJ8yMzOVkZHhNq+qLluSGjVqpODgYBUVFbnNLyoqUnR0dKX1//vf/2rv3r1KTk6umOd0OiVJ9erV0/bt29WyZcuLZqRoAwAsw2niyarqToVXJTQ0VPHx8crNza24bcvpdCo3N1ejRo2qtH7btm311Vdfuc178skn9f333+vFF19Us2bNPNovRRsAAC9kZGQoLS1N1113nbp3766ZM2eqpKREgwcPliSlpqaqadOmys7OVlhYmDp27Oj2+YYNG0pSpfk1oWgDACzDzGvaRg0YMEBHjx7VpEmTVFhYqK5du2r16tUVg9P279+voCDfDpyzuVx1429g/w9n/R3BK83OveXvCF5z/O1f/o7glbzZ2/0dwWsMRPv1tYi1+TuCV8Iv83cC73X4surR076w85R5taJ1RH3Ttu0rhn4ClJWVqV69evr666/NygMAQLWcLvMmKzBUtENCQtS8eXOVl5eblQcAAFTD8Mn2J554Qo8//riOH7fuvbIAAGtyulymTVZgeCDa7NmztWvXLjVp0kRXXXWVGjRo4LZ88+bNPgsHAMDPWaW4msVw0Tb6GjEAAOAbhot2VlaWGTkAALio8sButI1f005LS9P69evNyAIAAGpguGifOnVKiYmJat26tZ577jkdOnTIjFwAAFQS6APRDBftt99+W4cOHdKIESO0dOlSxcbG6rbbbtM///lPlZWVmZERAADIi6ItSY0bN1ZGRob+85//aOPGjWrVqpUeeughNWnSRGPHjtXOnTt9nRMAAB6uUpsPHzlyRGvWrNGaNWsUHBys22+/XV999ZXat2+vGTNm+CojAACQF6PHy8rK9M477ygnJ0cffPCBOnfurEcffVSDBg1SeHi4JGn58uUaMmSIxo4d6/PAAIDAZZVrz2YxXLRjYmLkdDo1cOBA5efnq2vXrpXWuemmmypeOQYAgK9Y5TS2WQwX7RkzZui+++5TWFhYtes0bNhQe/bsqVUwAADgznDRfuihh8zIAQDARQX66XHfvp0bAACYxnCn7QsOh0MOh8N9XplTdrvdH3EAABZBp+0H2dnZioiIcJteeuF5f0QBAMAy/NJpZ2ZmKiMjw21eUZnTH1EAABbC6HEDSktL9fbbbysvL0+FhYWSpOjoaPXs2VN33XWXQkNDPdqO3W6vdCr85A9njUQBACDgeHx6fNeuXWrXrp3S0tL0xRdfyOl0yul06osvvlBqaqo6dOigXbt2mZkVABDgAv2FIR532iNGjFCnTp30xRdfVDz57EenT59WamqqRo4cqffff9/nIQEAkDg97nHR/vTTT5Wfn1+pYEtSeHi4nnnmGfXo0cOn4QAAwE88Pj3esGFD7d27t9rle/fu5dGlAABTcXrcQ8OGDVNqaqomTpyom2++WVFRUZKkoqIi5ebm6tlnn9Xo0aNNCwoAQKDzuGg//fTTatCggZ5//nn9v//3/2Sz2SRJLpdL0dHRmjBhgh577DHTggIAYJWO2CyGbvmaMGGCJkyYoD179rjd8tWiRQtTwgEAgJ949XCVFi1aUKgBAL+6QB897rPHmB44cEBDhgzx1eYAAMAv+KxoHz9+XK+99pqvNgcAQCXlLpdpkxV4fHr8nXfeqXH57t27ax0GAABUz+OinZKSIpvNJlcNv0Z+HFEOAIAZuKbtoZiYGC1btqzimeO/nDZv3mxmTgAAAv7hKh4X7fj4eBUUFFS7/GJdOAAAqB2PT4+PHz9eJSUl1S5v1aqV1q5d65NQAABUxSodsVk8Ltq9e/eucXmDBg3Ut2/fWgcCAABV8+rhKgAA+AMD0QAAgCXQaQMALCPQr2nTaQMAYBF02gAAy3A6/Z3Av+pM0d505Ht/R/CKI/I+f0fwWqsh5/wdwSvdjvzg7wheK/7yqL8jeKXoQKm/I3htz15rnk4NC/N3Au91MHHbzgAficbpcQAALKLOdNoAAFwMA9EAAIAl0GkDACyjnGvaAADACgwV7bKyMrVs2VJbt241Kw8AANVyOl2mTVZgqGiHhITo3Dlr3iYEAIDVGT49PnLkSE2dOlXnz583Iw8AANVyulymTVZgeCDapk2blJubqw8++ECdOnVSgwYN3JYvW7bMZ+EAAPg5q5zGNovhot2wYUP179/fjCwAAKAGhot2Tk6OGTkAALioQO+0DV/TzsrK0r59+8zIAgAAamC4aK9YsUItW7bUzTffrEWLFsnhcJiRCwCASrjly6AtW7Zo06ZN6tChg8aMGaPo6GiNGDFCmzZtMiMfAAD4P149ES0uLk6zZs3S4cOH9corr+jgwYPq1auXOnfurBdffFGnTp3ydU4AAAL+lq9aPcbU5XKprKxMpaWlcrlcuvzyyzV79mw1a9ZMS5cu9VVGAAAgL4t2QUGBRo0apZiYGI0dO1ZxcXHaunWrPv74Y+3cuVN/+ctf9D//8z++zgoACHDlTpdpkxUYvuWrU6dO2rZtm/r166dXXnlFycnJCg4Odltn4MCBGjNmjM9CAgAgccuX4aJ9//33a8iQIWratGm16zRq1EhOp7NWwQAAgDvDRXvixIlm5AAA4KICvdPmfdoAAFiE4U7bFxwOR6WHspSVOhQSavdHHACARVjl1iyz+KXTzs7OVkREhNu0bN4sf0QBAMAy/NJpZ2ZmKiMjw23eqgM8kAUAULNAv6ZtuGjn5+crLy9PhYWFkqTo6GglJCSoe/fuHm/DbrfLbnc/FR4Ses5oFAAAAorHRbu4uFj9+/fXp59+qubNmysqKkqSVFRUpLFjx6pXr17617/+pcjISNPCAgACW6B32h5f037kkUdUXl6urVu3au/evdq4caM2btyovXv3auvWrXI6nRo5cqSZWQEAAa7c5TJtsgKPO+33339f69evV5s2bSota9OmjWbNmqUbb7zRl9kAAMDPeFy07Xa7Tp8+Xe3y77//vtJ1agAAfCnQH7bp8enxAQMGKC0tTcuXL3cr3qdPn9by5cs1ePBgDRw40JSQAADAQKc9ffp0OZ1OPfDAAzp//rxCQ0MlSaWlpapXr56GDh2qadOmmRYUAIBAH4hm6PT43LlzNXXqVBUUFLjd8hUfH6/w8HDTQgIAAC/u0w4PD9dNN91kRhYAAGoU6J22oceYnj17Vp988om+/fbbSsvOnTunhQsX+iwYAABw53HR3rFjh9q1a6c+ffqoU6dO6tu3rw4fPlyx/NSpUxo8eLApIQEAkC68MMSsyQo8LtoTJkxQx44dVVxcrO3bt+uyyy7TDTfcoP3795uZDwCACk6ny7TJCjwu2p999pmys7PVqFEjtWrVSu+++66SkpLUu3dv7d6928yMAABABor22bNnVa/eT+PWbDab5s6dq+TkZPXt21c7duwwJSAAAD8qd7pMm6zA49Hjbdu21eeff6527dq5zZ89e7Yk6c477/RtMgAA4MbjTvvuu+/W4sWLq1w2e/ZsDRw4UC6LXMgHAFgT17Q9lJmZqVWrVlW7/KWXXpIz0B8KCwAIKHPmzFFsbKzCwsLUo0cP5efnV7vuyy+/rN69e+vyyy/X5ZdfrsTExBrXr4qh+7QBAPCnunTL19KlS5WRkaGsrCxt3rxZXbp0UVJSkoqLi6tcf926dRo4cKDWrl2rvLw8NWvWTP369dOhQ4c83idFGwAAL0yfPl3Dhw/X4MGD1b59e82bN0+XXHKJFixYUOX6b775ph555BF17dpVbdu21fz58+V0OpWbm+vxPg0/xhQAAH8x89qzw+GQw+Fwm2e326t87XRpaakKCgqUmZlZMS8oKEiJiYnKy8vzaH9nzpxRWVmZrrjiCo8z0mkDACzDzIFo2dnZioiIcJuys7OrzHHs2DGVl5crKirKbX5UVFTFC7UuZsKECWrSpIkSExM9Pv4602kXfnfG3xG80vSyMH9H8FrriEh/R/BKSHPrvlHu0mJrfs/Pniz1dwSvhVn0n+i5c/5OEHgyMzOVkZHhNq+qLtsXpkyZoiVLlmjdunUKM/AlrTNFGwCAizHz9Hh1p8Kr0qhRIwUHB6uoqMhtflFRkaKjo2v87LRp0zRlyhR9+OGH6ty5s6GMnB4HAMCg0NBQxcfHuw0i+3FQWUJCQrWf++tf/6pnnnlGq1ev1nXXXWd4v3TaAADLcJbXnYegZGRkKC0tTdddd526d++umTNnqqSkpOKNl6mpqWratGnFdfGpU6dq0qRJWrRokWJjYyuufV966aW69NJLPdonRRsAAC8MGDBAR48e1aRJk1RYWKiuXbtq9erVFYPT9u/fr6Cgn05oz507V6Wlpbr33nvdtpOVlaXJkyd7tE+KNgDAMlx17Mmbo0aN0qhRo6pctm7dOrc/7927t9b7M3RNu6ysTC1bttTWrVtrvWMAAGCMoU47JCRE57gPAQDgJ1Z5sYdZDI8eHzlypKZOnarz58+bkQcAgGoF+lu+DF/T3rRpk3Jzc/XBBx+oU6dOatCggdvyZcuW+SwcAAD4ieGi3bBhQ/Xv39+MLAAA1MgqHbFZDBftnJwcM3IAAICLMHxNOysrS/v27TMjCwAANXKWu0ybrMBw0V6xYoVatmypm2++WYsWLar0GjMAAGAOw0V7y5Yt2rRpkzp06KAxY8YoOjpaI0aM0KZNm8zIBwBAhUAfPe7VC0Pi4uI0a9YsHT58WK+88ooOHjyoXr16qXPnznrxxRd16tQpX+cEACDg1eotXy6XS2VlZSotLZXL5dLll1+u2bNnq1mzZlq6dKmvMgIAIElyOV2mTVbgVdEuKCjQqFGjFBMTo7FjxyouLk5bt27Vxx9/rJ07d+ovf/mL/ud//sfXWQEACGiGb/nq1KmTtm3bpn79+umVV15RcnKygoOD3dYZOHCgxowZ47OQAABIF95ZHcgMF+37779fQ4YMUdOmTatdp1GjRgH/FwsA8D2rDBgzi+GiPXHiRDNyAACAi+B92gAAy7DKQ1DM4pei7XA4Kj2UpazUoZBQuz/iAABgCbW65ctb2dnZioiIcJs+WDjXH1EAABbCw1X8IDMzU6dOnXKb+qWO8EcUAAAsw/Dp8fz8fOXl5amwsFCSFB0drYSEBHXv3t3jbdjtdtnt7qfCQ0KPG40CAAgwVumIzeJx0S4uLlb//v316aefqnnz5oqKipIkFRUVaezYserVq5f+9a9/KTIy0rSwAAAEMo9Pjz/yyCMqLy/X1q1btXfvXm3cuFEbN27U3r17tXXrVjmdTo0cOdLMrACAABfojzH1uNN+//33tX79erVp06bSsjZt2mjWrFm68cYbfZkNAAA3gX563ONO22636/Tp09Uu//777ytdpwYAAL7jcdEeMGCA0tLStHz5crfiffr0aS1fvlyDBw/WwIEDTQkJAIB04eEqZk1W4PHp8enTp8vpdOqBBx7Q+fPnFRoaKkkqLS1VvXr1NHToUE2bNs20oAAABDqPi7bdbtfcuXM1depUFRQUuN3yFR8fr/DwcNNCAgAg8ZYvw/dph4eH66abbjIjCwAAqIGhor1161Zt2LBBCQkJatu2rbZt26YXX3xRDodDf/zjH/X73//erJwAAAT86HGPi/bq1at111136dJLL9WZM2e0fPlypaamqkuXLnI6nerXr58++OADCjcAACbxePT4008/rfHjx+u7775TTk6OBg0apOHDh2vNmjXKzc3V+PHjNWXKFDOzAgACHC8M8dA333yj9PR0SdL999+v77//Xvfee2/F8gcffFBffvmlzwMCAPAjirYBNpvtwoeCghQWFqaIiIiKZZdddplOnTrl23QAAKCCx9e0Y2NjtXPnTrVs2VKSlJeXp+bNm1cs379/v2JiYnyfEACA/+OyyENQzOJx0R4xYoTKy8sr/tyxY0e35f/+978ZhAYAgIk8LtoPP/xwjcufe+65WocBAKAmVrn2bBZD17QBAID/GH4iGgAA/kKnDQAALIFOGwBgGS5eGAIAgDUE+i1fNpfL9Zv+G3A4HMrOzlZmZqbsdru/43jMqrkl62a3am7Jutmtmluybnar5v7RLRnvmrbtNdOTTdu2r/zmi/bp06cVERGhU6dOWeqd31bNLVk3u1VzS9bNbtXcknWzWzX3jxIffce0bX84807Ttu0rDEQDAMAiuKYNALCMQL+mTacNAIBF/OY7bbvdrqysLMsNuLBqbsm62a2aW7Judqvmlqyb3aq5f+QK8Ier/OYHogEAfjt+P/Jt07b90ZwU07btK7/5ThsA8BtSzsNVAACwhEA/Pc5ANAAALKJOF+05c+YoNjZWYWFh6tGjh/Lz82tc/9VXX5XNZnObwsLCfqW0F7d+/XolJyerSZMmstlsevvtt/0dySPZ2dnq1q2bLrvsMkVGRiolJUXbt2/3dyyPTJ48udJ3om3btv6OdVGxsbGVcttsNo0cOdLf0dx48p12uVyaNGmSYmJiVL9+fSUmJmrnzp2/fthf8OR7fe7cOY0cOVK/+93vdOmll6p///4qKiryU+KfzJ07V507d1Z4eLjCw8OVkJCgf//7327r1NXsteUqd5k2WUGdLdpLly5VRkaGsrKytHnzZnXp0kVJSUkqLi6u8XPh4eE6cuRIxbRv3z6f5nK5XDp//rxXny0pKVGXLl00Z84cn2b6udrkq87HH3+skSNHasOGDVqzZo3KysrUr18/lZSU+Gwf5eXlcpr0IoAOHTq4fSc++eQTn27fjOybNm1yy7xmzRpJ0n333eezffgityff6b/+9a+aNWuW5s2bp40bN6pBgwZKSkrSuXPnarXvnystLTX8GU++12PHjtW7776rt956Sx9//LEOHz6se+65x2e5Je+yX3nllZoyZYoKCgr0+eef6/e//73uuusuffPNNxXr1NXsqCVXHdW9e3fXyJEjK/5cXl7uatKkiSs7O7vaz+Tk5LgiIiI83seePXtcNpvNtWnTJrf5M2bMcDVv3txVXl7uWrt2rUuSa9WqVa5rr73WFRIS4lq7dq3Rw6lEkmv58uV1Nl9NiouLXZJcH3/8cZXLP/74Y1e9evVcR44ccZs/ZswY1w033OByuX76b7VixQpXu3btXMHBwa49e/b4PGtWVparS5cuHq9fl7L/cv8tW7Z0OZ3OOpu7qu+00+l0RUdHu55//vmKeSdPnnTZ7XbX4sWLq9zOa6+95rriiitc586dc5t/1113uf74xz+6XK6f/ru+/PLLrtjYWJfNZqt1/l9+r0+ePOkKCQlxvfXWWxXrbN261SXJlZeXV+U2nnrqKVeHDh0qze/SpYvrySefdLlcLldaWprrrrvucj377LOumJgYV2xsbK2zu1wu1+WXX+6aP3++JbMb0Sf9H6ZNVlAnO+3S0lIVFBQoMTGxYl5QUJASExOVl5dX42d/+OEHXXXVVWrWrFmlX56/FBsbq8TEROXk5LjNz8nJUXp6uoKCfvrr+fOf/6wpU6Zo69at6ty5s5dHZkxdzXfq1ClJ0hVXXFHl8j59+ujqq6/W66+/XjGvrKxMb775poYMGVIx78yZM5o6darmz5+vb775RpGRkabk3blzp5o0aaKrr75aDz74oPbv31/tunUtu3Th38Mbb7yhIUOGyGazWSa3JO3Zs0eFhYVu/5YjIiLUo0ePav8t33fffSovL9c77/z0jOni4mKtXLnS7Vh27dqlf/3rX1q2bJm2bNlS66y//F4XFBSorKzMLXvbtm3VvHnzarMPGTJEW7du1aZNmyrmffHFF/ryyy81ePDginm5ubnavn271qxZo/fee69WucvLy7VkyRKVlJQoISHBUtlhXJ0s2seOHVN5ebmioqLc5kdFRamwsLDaz7Vp00YLFizQihUr9MYbb8jpdKpnz546ePBgtZ8ZNmyYFi9eLIfDIUnavHmzvvrqK7cvqSQ9/fTTuuWWW9SyZctqi5UZ6lo+p9OpRx99VL169VLHjh2rXW/o0KFuPzbeffddnTt3Tvfff3/FvLKyMr300kvq2bOn2rRpo0suucTneXv06KFXX31Vq1ev1ty5c7Vnzx717t1b33//fZ3P/qO3335bJ0+eVHp6eo3r1bXckir+vRr5t1y/fn0NGjTI7VjeeOMNNW/eXDfeeGPFvNLSUi1cuFBxcXG1/qFa1fe6sLBQoaGhatiwocfZr7zySiUlJbllz8nJUd++fXX11VdXzGvQoIHmz5+vDh06qEOHDl5l/uqrr3TppZfKbrfr4Ycf1vLly9W+fXtLZK8Vp9O8yQLqZNH2VkJCglJTU9W1a1f17dtXy5YtU+PGjfW3v/2t2s+kpKQoODhYy5cvl3RhMNtNN92k2NhYt/Wuu+46M6NXq67lGzlypL7++mstWbKkxvXS09O1a9cubdiwQdKF3Pfff78aNGhQsU5oaKjpZwVuu+023XfffercubOSkpK0atUqnTx5Uv/4xz/qfPYfvfLKK7rtttvUpEmTGtera7lrY/jw4frggw906NAhSReOJT093e1Mw1VXXaXGjRv7ZH+efq89MXz4cC1evFjnzp1TaWmpFi1a5HaGQJI6deqk0NDQWu2nTZs22rJlizZu3KgRI0YoLS1N3377ba22+Wtlh/fq5H3ajRo1UnBwcKWRjkVFRYqOjvZ4OyEhIYqLi9OuXbuqXSc0NFSpqanKycnRPffco0WLFunFF1+stN7P/8f3a6pL+UaNGqX33ntP69ev15VXXlnjupGRkUpOTlZOTo5atGihf//731q3bp3bOvXr16/2dK9ZGjZsqGuuuabG70Rdyr5v3z59+OGHWrZs2UXXrUu5f/Tjv9eioiLFxMRUzC8qKlLXrl2r/VxcXJy6dOmihQsXql+/fvrmm2+0cuVKt3V89Z2v7nsdHR2t0tJSnTx50q1jvdj/h5KTk2W327V8+XKFhoaqrKxM9957r8+zh4aGqlWrVpKk+Ph4bdq0SS+++KL+9re/1fnstWGVUd5mqZNFOzQ0VPHx8crNzVVKSoqkC6evcnNzNWrUKI+3U15erq+++kq33357jesNGzZMHTt21EsvvaTz58/7fIRlbfk7n8vl0ujRo7V8+XKtW7dOLVq08Ohzw4YN08CBA3XllVeqZcuW6tWrl8lJL+6HH37Qf//7Xz300EM1rldXsufk5CgyMlJ33HGHR+vXldw/atGihaKjo5Wbm1tRpE+fPl3RHdZk2LBhmjlzpg4dOqTExEQ1a9bMp9ku9r2Oj49XSEiIcnNz1b9/f0nS9u3btX///oprx1WpV6+e0tLSlJOTo9DQUD3wwAOqX7++T7NXxel0VlxGs1p2IwL94Sp1smhLUkZGhtLS0nTdddepe/fumjlzpkpKStyu5aampqpp06bKzs6WdOG67vXXX69WrVrp5MmTev7557Vv3z4NGzasxn21a9dO119/vSZMmKAhQ4aY9iX94Ycf3Dq8PXv2aMuWLbriiivUvHlzv+erzsiRI7Vo0SKtWLFCl112WcU1sYiIiBqzJCUlKTw8XM8++6yefvrpXyuum3Hjxik5OVlXXXWVDh8+rKysLAUHB2vgwIE1fq4uZHc6ncrJyVFaWprq1fPsn+qvnfti32mbzaZHH31Uzz77rFq3bq0WLVpo4sSJatKkScUP8uoMGjRI48aN08svv6yFCxf6PPvFvtcREREaOnSoMjIydMUVVyg8PFyjR49WQkKCrr/++hq3PWzYMLVr106S9Omnn/o8e2Zmpm677TY1b95c33//vRYtWqR169bp/fffrziGupodtVNni/aAAQN09OhRTZo0SYWFheratatWr17tNqBl//79biOoT5w4oeHDh6uwsFCXX3654uPj9dlnn1UMzqjJ0KFD9dlnn1W6fuNLn3/+uW666aaKP2dkZEiS0tLS9Oqrr/o9X3Xmzp0rSW6DgKSfRrFXJygoSOnp6XruueeUmppqYsLqHTx4UAMHDtR3332nxo0b64YbbtCGDRsuei20LmT/8MMPtX//fkP/zX/t3J58px977DGVlJToT3/6k06ePKkbbrhBq1evvuiDjyIiItS/f3+tXLnyogXeG558r2fMmKGgoCD1799fDodDSUlJeumlly667datW6tnz546fvy4evTo4evoKi4uVmpqqo4cOaKIiAh17txZ77//vm655ZaKdepq9toK9NPjvOXr/zzzzDN666239OWXX/o7SpXqer7qDB06VEePHnW7fccqrJrdqrmrcvPNN6tDhw6aNWuWv6MY4nK51Lp1az3yyCMVP2Ssoq5nv2HAItO2/cnSQaZt21fqbKf9a/nhhx+0d+9ezZ49W88++6y/41RS1/NV59SpU/rqq6+0aNEiyxUPq2a3au6qnDhxQuvWrdO6des86g7rkqNHj2rJkiUqLCysdGtmXWeF7FzTDnCjRo3S4sWLlZKS4pdTzxdT1/NV56677lJ+fr4efvhht1N2VmDV7FbNXZW4uDidOHFCU6dOVZs2bfwdx5DIyEg1atRIf//733X55Zf7O44hVs4eKDg9DgCwjF73vH7xlbz06bKa7yqpC35TD1cBAOC3LOBPjwMArINr2gAAWESg3/LF6XEAACyCThsAYBmBfnqcThsAAIug0wYAWAbXtAEAgCXQaQMArMPp9HcCv6LTBgDAIui0AQCWEejXtCnaAADL4JYvAABgCXTaAADLCPTT43TaAABYBJ02AMA6uOULAAB4Y86cOYqNjVVYWJh69Oih/Pz8Gtd/66231LZtW4WFhalTp05atWqVof1RtAEAluEqd5k2GbV06VJlZGQoKytLmzdvVpcuXZSUlKTi4uIq1//ss880cOBADR06VF988YVSUlKUkpKir7/+2uN92lwuV2Bf1QcAWEZ8wlzTtl2QN8LQ+j169FC3bt00e/ZsSZLT6VSzZs00evRo/fnPf660/oABA1RSUqL33nuvYt7111+vrl27at68eR7tk04bAGAZLqfLtMmI0tJSFRQUKDExsWJeUFCQEhMTlZeXV+Vn8vLy3NaXpKSkpGrXrwoD0QAAkORwOORwONzm2e122e32SuseO3ZM5eXlioqKcpsfFRWlbdu2Vbn9wsLCKtcvLCz0OCNFGwBgGZs3PmLatidPnqynnnrKbV5WVpYmT55s2j6NomgDACApMzNTGRkZbvOq6rIlqVGjRgoODlZRUZHb/KKiIkVHR1f5mejoaEPrV4Vr2gAA6EKBDg8Pd5uqK9qhoaGKj49Xbm5uxTyn06nc3FwlJCRU+ZmEhAS39SVpzZo11a5fFTptAAC8kJGRobS0NF133XXq3r27Zs6cqZKSEg0ePFiSlJqaqqZNmyo7O1uSNGbMGPXt21cvvPCC7rjjDi1ZskSff/65/v73v3u8T4o2AABeGDBggI4ePapJkyapsLBQXbt21erVqysGm+3fv19BQT+d0O7Zs6cWLVqkJ598Uo8//rhat26tt99+Wx07dvR4n9ynDQCARXBNGwAAi6BoAwBgERRtAAAsgqINAIBFULQBALAIijYAABZB0QYAwCIo2gAAWARFGwAAi6BoAwBgERRtAAAsgqINAIBF/H+vFkViwzFtIwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 600x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 600x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "selected_dates = ['2022-3-30','2022-6-30','2022-9-30','2022-12-30']\n",
    "\n",
    "for date_i in selected_dates:\n",
    "    plt.figure(figsize = (6,6))\n",
    "    sns.heatmap(rolling_EWMA_corr.loc[date_i], \n",
    "                square = True,\n",
    "                cmap = 'RdYlBu_r', vmin = 0, vmax = 1)\n",
    "    \n",
    "    plt.savefig(date_i + '.svg')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d2b38df6-f63d-489d-8aa3-47fc7f29fabd",
   "metadata": {},
   "source": [
    "## 成对相关性系数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "6f816303-a56a-4a83-9270-ec0166b2c6fe",
   "metadata": {},
   "outputs": [],
   "source": [
    "rolling_EWMA_corr_ = rolling_EWMA_corr.unstack()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "0af8dc26-cf76-4dba-9cfc-02de4491e27a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead tr th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe thead tr:last-of-type th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr>\n",
       "      <th></th>\n",
       "      <th colspan=\"8\" halign=\"left\">0.5 yr</th>\n",
       "      <th colspan=\"2\" halign=\"left\">1 yr</th>\n",
       "      <th>...</th>\n",
       "      <th colspan=\"2\" halign=\"left\">20 yr</th>\n",
       "      <th colspan=\"8\" halign=\"left\">30 yr</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th></th>\n",
       "      <th>0.5 yr</th>\n",
       "      <th>1 yr</th>\n",
       "      <th>10 yr</th>\n",
       "      <th>2 yr</th>\n",
       "      <th>20 yr</th>\n",
       "      <th>30 yr</th>\n",
       "      <th>5 yr</th>\n",
       "      <th>7 yr</th>\n",
       "      <th>0.5 yr</th>\n",
       "      <th>1 yr</th>\n",
       "      <th>...</th>\n",
       "      <th>5 yr</th>\n",
       "      <th>7 yr</th>\n",
       "      <th>0.5 yr</th>\n",
       "      <th>1 yr</th>\n",
       "      <th>10 yr</th>\n",
       "      <th>2 yr</th>\n",
       "      <th>20 yr</th>\n",
       "      <th>30 yr</th>\n",
       "      <th>5 yr</th>\n",
       "      <th>7 yr</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DATE</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2022-01-04</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-01-05</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.0</td>\n",
       "      <td>...</td>\n",
       "      <td>-1.000000</td>\n",
       "      <td>-1.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-1.000000</td>\n",
       "      <td>-1.000000</td>\n",
       "      <td>-1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.0</td>\n",
       "      <td>-1.000000</td>\n",
       "      <td>-1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-01-06</th>\n",
       "      <td>1.0</td>\n",
       "      <td>0.749292</td>\n",
       "      <td>-0.521943</td>\n",
       "      <td>0.618469</td>\n",
       "      <td>-0.853137</td>\n",
       "      <td>-0.826964</td>\n",
       "      <td>0.525732</td>\n",
       "      <td>0.515349</td>\n",
       "      <td>0.749292</td>\n",
       "      <td>1.0</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.892295</td>\n",
       "      <td>-0.886739</td>\n",
       "      <td>-0.826964</td>\n",
       "      <td>-0.991985</td>\n",
       "      <td>-0.047964</td>\n",
       "      <td>-0.953276</td>\n",
       "      <td>0.998835</td>\n",
       "      <td>1.0</td>\n",
       "      <td>-0.913043</td>\n",
       "      <td>-0.908016</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-01-07</th>\n",
       "      <td>1.0</td>\n",
       "      <td>0.536183</td>\n",
       "      <td>-0.440266</td>\n",
       "      <td>0.429623</td>\n",
       "      <td>-0.804116</td>\n",
       "      <td>-0.855492</td>\n",
       "      <td>0.595245</td>\n",
       "      <td>0.501795</td>\n",
       "      <td>0.536183</td>\n",
       "      <td>1.0</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.903337</td>\n",
       "      <td>-0.887156</td>\n",
       "      <td>-0.855492</td>\n",
       "      <td>-0.866274</td>\n",
       "      <td>0.000694</td>\n",
       "      <td>-0.824204</td>\n",
       "      <td>0.983279</td>\n",
       "      <td>1.0</td>\n",
       "      <td>-0.917830</td>\n",
       "      <td>-0.876354</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-01-10</th>\n",
       "      <td>1.0</td>\n",
       "      <td>0.641982</td>\n",
       "      <td>-0.581224</td>\n",
       "      <td>0.607000</td>\n",
       "      <td>-0.803812</td>\n",
       "      <td>-0.785902</td>\n",
       "      <td>0.490426</td>\n",
       "      <td>0.081760</td>\n",
       "      <td>0.641982</td>\n",
       "      <td>1.0</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.865762</td>\n",
       "      <td>-0.628377</td>\n",
       "      <td>-0.785902</td>\n",
       "      <td>-0.903538</td>\n",
       "      <td>0.277322</td>\n",
       "      <td>-0.873462</td>\n",
       "      <td>0.987818</td>\n",
       "      <td>1.0</td>\n",
       "      <td>-0.891845</td>\n",
       "      <td>-0.653673</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 64 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "           0.5 yr                                                              \\\n",
       "           0.5 yr      1 yr     10 yr      2 yr     20 yr     30 yr      5 yr   \n",
       "DATE                                                                            \n",
       "2022-01-04    NaN       NaN       NaN       NaN       NaN       NaN       NaN   \n",
       "2022-01-05    NaN       NaN       NaN       NaN       NaN       NaN       NaN   \n",
       "2022-01-06    1.0  0.749292 -0.521943  0.618469 -0.853137 -0.826964  0.525732   \n",
       "2022-01-07    1.0  0.536183 -0.440266  0.429623 -0.804116 -0.855492  0.595245   \n",
       "2022-01-10    1.0  0.641982 -0.581224  0.607000 -0.803812 -0.785902  0.490426   \n",
       "\n",
       "                          1 yr       ...     20 yr               30 yr  \\\n",
       "                7 yr    0.5 yr 1 yr  ...      5 yr      7 yr    0.5 yr   \n",
       "DATE                                 ...                                 \n",
       "2022-01-04       NaN       NaN  NaN  ...       NaN       NaN       NaN   \n",
       "2022-01-05       NaN       NaN  1.0  ... -1.000000 -1.000000       NaN   \n",
       "2022-01-06  0.515349  0.749292  1.0  ... -0.892295 -0.886739 -0.826964   \n",
       "2022-01-07  0.501795  0.536183  1.0  ... -0.903337 -0.887156 -0.855492   \n",
       "2022-01-10  0.081760  0.641982  1.0  ... -0.865762 -0.628377 -0.785902   \n",
       "\n",
       "                                                                              \n",
       "                1 yr     10 yr      2 yr     20 yr 30 yr      5 yr      7 yr  \n",
       "DATE                                                                          \n",
       "2022-01-04       NaN       NaN       NaN       NaN   NaN       NaN       NaN  \n",
       "2022-01-05 -1.000000 -1.000000 -1.000000  1.000000   1.0 -1.000000 -1.000000  \n",
       "2022-01-06 -0.991985 -0.047964 -0.953276  0.998835   1.0 -0.913043 -0.908016  \n",
       "2022-01-07 -0.866274  0.000694 -0.824204  0.983279   1.0 -0.917830 -0.876354  \n",
       "2022-01-10 -0.903538  0.277322 -0.873462  0.987818   1.0 -0.891845 -0.653673  \n",
       "\n",
       "[5 rows x 64 columns]"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rolling_EWMA_corr_.head(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "b8b3e413-e330-4413-bccd-10d8eb8fb613",
   "metadata": {},
   "outputs": [],
   "source": [
    "list_tickers = list(X_df.columns)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "01ff27a4-a19b-41af-b7e0-cfc1d620fbf8",
   "metadata": {},
   "outputs": [],
   "source": [
    "rolling_EWMA_corr_.columns = ['_'.join(col).strip()\n",
    "                              for col in rolling_EWMA_corr.unstack().columns.values]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "29d8bf71-4dcb-4480-a007-030613490228",
   "metadata": {},
   "outputs": [],
   "source": [
    "pairs_kept = ['_'.join(l) for l in combinations(list_tickers,2)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "a0182024-45ac-44b8-950a-3483913cca80",
   "metadata": {},
   "outputs": [],
   "source": [
    "rolling_EWMA_corr_selected = rolling_EWMA_corr_[pairs_kept]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "1ebdbde4-f252-4509-adf4-f4f03b773475",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>0.5 yr_1 yr</th>\n",
       "      <th>0.5 yr_2 yr</th>\n",
       "      <th>0.5 yr_5 yr</th>\n",
       "      <th>0.5 yr_7 yr</th>\n",
       "      <th>0.5 yr_10 yr</th>\n",
       "      <th>0.5 yr_20 yr</th>\n",
       "      <th>0.5 yr_30 yr</th>\n",
       "      <th>1 yr_2 yr</th>\n",
       "      <th>1 yr_5 yr</th>\n",
       "      <th>1 yr_7 yr</th>\n",
       "      <th>...</th>\n",
       "      <th>5 yr_7 yr</th>\n",
       "      <th>5 yr_10 yr</th>\n",
       "      <th>5 yr_20 yr</th>\n",
       "      <th>5 yr_30 yr</th>\n",
       "      <th>7 yr_10 yr</th>\n",
       "      <th>7 yr_20 yr</th>\n",
       "      <th>7 yr_30 yr</th>\n",
       "      <th>10 yr_20 yr</th>\n",
       "      <th>10 yr_30 yr</th>\n",
       "      <th>20 yr_30 yr</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>DATE</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2022-01-04</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-01-05</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>-1.000000</td>\n",
       "      <td>-1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>-1.000000</td>\n",
       "      <td>-1.000000</td>\n",
       "      <td>-1.000000</td>\n",
       "      <td>-1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-01-06</th>\n",
       "      <td>0.749292</td>\n",
       "      <td>0.618469</td>\n",
       "      <td>0.525732</td>\n",
       "      <td>0.515349</td>\n",
       "      <td>-0.521943</td>\n",
       "      <td>-0.853137</td>\n",
       "      <td>-0.826964</td>\n",
       "      <td>0.983808</td>\n",
       "      <td>0.957261</td>\n",
       "      <td>0.953673</td>\n",
       "      <td>...</td>\n",
       "      <td>0.999926</td>\n",
       "      <td>0.451186</td>\n",
       "      <td>-0.892295</td>\n",
       "      <td>-0.913043</td>\n",
       "      <td>0.462005</td>\n",
       "      <td>-0.886739</td>\n",
       "      <td>-0.908016</td>\n",
       "      <td>0.000300</td>\n",
       "      <td>-0.047964</td>\n",
       "      <td>0.998835</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-01-07</th>\n",
       "      <td>0.536183</td>\n",
       "      <td>0.429623</td>\n",
       "      <td>0.595245</td>\n",
       "      <td>0.501795</td>\n",
       "      <td>-0.440266</td>\n",
       "      <td>-0.804116</td>\n",
       "      <td>-0.855492</td>\n",
       "      <td>0.983685</td>\n",
       "      <td>0.893984</td>\n",
       "      <td>0.932557</td>\n",
       "      <td>...</td>\n",
       "      <td>0.987968</td>\n",
       "      <td>0.390989</td>\n",
       "      <td>-0.903337</td>\n",
       "      <td>-0.917830</td>\n",
       "      <td>0.433746</td>\n",
       "      <td>-0.887156</td>\n",
       "      <td>-0.876354</td>\n",
       "      <td>0.028347</td>\n",
       "      <td>0.000694</td>\n",
       "      <td>0.983279</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-01-10</th>\n",
       "      <td>0.641982</td>\n",
       "      <td>0.607000</td>\n",
       "      <td>0.490426</td>\n",
       "      <td>0.081760</td>\n",
       "      <td>-0.581224</td>\n",
       "      <td>-0.803812</td>\n",
       "      <td>-0.785902</td>\n",
       "      <td>0.987963</td>\n",
       "      <td>0.889392</td>\n",
       "      <td>0.745795</td>\n",
       "      <td>...</td>\n",
       "      <td>0.902965</td>\n",
       "      <td>0.176499</td>\n",
       "      <td>-0.865762</td>\n",
       "      <td>-0.891845</td>\n",
       "      <td>0.425796</td>\n",
       "      <td>-0.628377</td>\n",
       "      <td>-0.653673</td>\n",
       "      <td>0.317494</td>\n",
       "      <td>0.277322</td>\n",
       "      <td>0.987818</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 28 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "            0.5 yr_1 yr  0.5 yr_2 yr  0.5 yr_5 yr  0.5 yr_7 yr  0.5 yr_10 yr  \\\n",
       "DATE                                                                           \n",
       "2022-01-04          NaN          NaN          NaN          NaN           NaN   \n",
       "2022-01-05          NaN          NaN          NaN          NaN           NaN   \n",
       "2022-01-06     0.749292     0.618469     0.525732     0.515349     -0.521943   \n",
       "2022-01-07     0.536183     0.429623     0.595245     0.501795     -0.440266   \n",
       "2022-01-10     0.641982     0.607000     0.490426     0.081760     -0.581224   \n",
       "\n",
       "            0.5 yr_20 yr  0.5 yr_30 yr  1 yr_2 yr  1 yr_5 yr  1 yr_7 yr  ...  \\\n",
       "DATE                                                                     ...   \n",
       "2022-01-04           NaN           NaN        NaN        NaN        NaN  ...   \n",
       "2022-01-05           NaN           NaN   1.000000   1.000000   1.000000  ...   \n",
       "2022-01-06     -0.853137     -0.826964   0.983808   0.957261   0.953673  ...   \n",
       "2022-01-07     -0.804116     -0.855492   0.983685   0.893984   0.932557  ...   \n",
       "2022-01-10     -0.803812     -0.785902   0.987963   0.889392   0.745795  ...   \n",
       "\n",
       "            5 yr_7 yr  5 yr_10 yr  5 yr_20 yr  5 yr_30 yr  7 yr_10 yr  \\\n",
       "DATE                                                                    \n",
       "2022-01-04        NaN         NaN         NaN         NaN         NaN   \n",
       "2022-01-05   1.000000    1.000000   -1.000000   -1.000000    1.000000   \n",
       "2022-01-06   0.999926    0.451186   -0.892295   -0.913043    0.462005   \n",
       "2022-01-07   0.987968    0.390989   -0.903337   -0.917830    0.433746   \n",
       "2022-01-10   0.902965    0.176499   -0.865762   -0.891845    0.425796   \n",
       "\n",
       "            7 yr_20 yr  7 yr_30 yr  10 yr_20 yr  10 yr_30 yr  20 yr_30 yr  \n",
       "DATE                                                                       \n",
       "2022-01-04         NaN         NaN          NaN          NaN          NaN  \n",
       "2022-01-05   -1.000000   -1.000000    -1.000000    -1.000000     1.000000  \n",
       "2022-01-06   -0.886739   -0.908016     0.000300    -0.047964     0.998835  \n",
       "2022-01-07   -0.887156   -0.876354     0.028347     0.000694     0.983279  \n",
       "2022-01-10   -0.628377   -0.653673     0.317494     0.277322     0.987818  \n",
       "\n",
       "[5 rows x 28 columns]"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rolling_EWMA_corr_selected.head(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "7c9f20be-244d-418d-a2b7-ad6609db8141",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 800x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,ax = plt.subplots(figsize = (8,3))\n",
    "rolling_EWMA_corr_selected.plot(legend = False, ax = ax)\n",
    "plt.grid()\n",
    "plt.ylabel('Pairwise correlation')\n",
    "plt.savefig('EWMA相关性系数随时间变化.svg')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "4d2e473a-5960-4fad-91b3-299e1aa081d4",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "3341f84f-fc4c-4299-bc58-cc5a24849662",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
